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w'fmd'i'^idudkH fm<&
.Ks;h ^kj ks¾foaYh&
úNd. mQ¾j mqyqKq m%Yak m;% ix.%yh
w' fmd' i' ^idudkH fm<& úNd.hg kj ks¾foaYh hgf;a 2016 j¾Ifha yd bkamiq fmkS isák
isiqkaaa i|yd ms<sfh, lr we;s jákd .%ka:hls'
wka;¾.;h ( fuu fmdf;a wka;¾.; uQ,sldx.
• m%Yak m;% 07la wka;¾.; fõ
iEu m%Yak m;%hla iu`. u
• tla tla m%Yakhg wod< wfmalaIK
• m%Yak m;%h
• iúia;rd;aul ,l=Kq ie,eiau we;=<;a lr we;'
úIh ks¾foaYh
• 2015 j¾Ifha isg l%shd;aul jk kj úIh ls¾foaYhg wod< j ilid we;'
• .Ks;h 1 m;%hg cd;sl wOHdmk wdh;kh y`÷kajd § we;s w;HjYh
bf.kqï ixl,am u; mokï j tu m%Yak m;%h ilid we;'
• Y%S ,xld úNd. fomd¾;fïka;=j 2016 j¾Ifha yd bka Tíng meje;afjk
úNd. j, § .Ks;h úIh i|yd y`ÿkajd § we;s wdlD;sh mokï lrf.k
m%Yak m;% ilia lr we;'
NdId udOHh ( isxy," fou< yd bx.%Sis udOH ;=fkka u ms<sfh< lr we;'
ñ, § .; yels iA:dk
cd;sl wOHdmk wdh;kfha .nvdfjka ñ, § .; yels h'
2016
.Ks;h - úNd. mQ¾j mqyqKqq m%Yak m;% ix.%yh
m%:u uqøKh - 2016
© cd;sl wOHdmk wdh;kh
.Ks; fomd¾;fïka;=j
úoHd yd ;dlaIK mSGh
cd;sl wOHdmk wdh;kh
Y%S ,xldj
uqøKh ( uqøKd,h
cd;sl wOHdmk wdh;kh
www.nie.lk
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x
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OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
3
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
6
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
7
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
9
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
11
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
12
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
13
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
16
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
19
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
21
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
25
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
27
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/1/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
29
.Ks;h m%Yak m;%h - 1
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
§ we;s ùÔh Nd. folla wvq lrhs'
31
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
31
34
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
34
35
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
35
38
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
38
m%Yak ish,a,g u fuu m;%fha u W;a;r imhkak.
A fldgi
1' jD;a;hl mßêh 44 cm fõ. tu wrh we;s w¾O jD;a;hl pdm fldgfia È. fikaáógr
lSh o?
2 2
3' x - y = ( '''''''''''''') (........) ysia;ekg .e<fmk idOl ,shd iïmQ¾K lrkak.
4' ABCD p;=ri%fha AB = DC fõ' th iudka;rdi%hla ùu i|yd
;sìh hq;= wjYH;djla i|yka lrkak.
5' ñksiqka 4 fofkl=g Èk 3 § lsishï ld¾hhla ksu l< yels h. tu ld¾hh i|yd jeh
jk ñksia Èk .Kk lSho@
6' A = {1<x<10, x T;af;a ixLHdjls'} A l=,lh wjhj iys;j ,shd olajkak'
7' rEmfha ±lafjk f;dr;=re wkqj tys i|yka x ys w.h lSh o?
0
x70
0
8. LKavdxl ;,fha ksrEmKh jk ir, f¾Ldfõ wkql%uKh fidhkak'
2'2 m%Yak m;%h
.Ks;h - I
ld,h meh folhs
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
OL/2/32-S-I
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk
41
2' ys w.h lskï mQ¾K ixLHd w;r msysáfha o@18
A B
D C
0 1 2 3 4
3
2
1
(4,2)
x
y
x ys w.h lSh o@
fol w;r msysgsfha o@
wrhu we;s w¾O jD;a;hl pdm fldgfia È. fikaáógr
iqq¿ lrkak' x2
- 2x
		 y 3y
A B
CD
ABCD iudka;rdi%hls' tys AB yd DC mdo w;r iïnkaO;d
folla ,shkak'
ys lskï wkqhd; mQ¾K ixLHd fol w;r msysáfha o@
39
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
39
9' idOl fidhkak.
10' my; § we;s ;%sfldaK w;=frka wx. iu ;%sfldaK hq.,la f;dard ,shkak.
A
BC
60
50
0
0
Q
60
0
50
0
PR
Y X
Z
70
0
60
0
11' 2x + 1<6 wiudk;djfha mQ¾K ixLHd;aul úi÷ï ,shkak'
13' ABCD iDcqfldaKdi%dldr lvodisfhka rEmfha ±lafjk mßÈ is,skavrhla ;kd we;.
is,skavrfha m;=f,a wrh fidhkak.
A B
CD
10cm
22cm .
10cm
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
2
20x x��
42
12' iq¿lrkak.
OL/2/32-S-I
14'
1 1
3 2
j;af;ka levQ fmd,a f.dvlska la ksjfia Ndú;hg ;ndf.k b;sßfhka la úl=Kk ,§'
úl=KQ m%udKh uq¿ f.ä .Kkska ljr Nd.hla o@
15' O flakaøh jQ jD;a;hl AB úYalïNhls. CB hkq cHdhls. O isg CB g w¢k ,o
,ïnh OD fõ. AC yd OD w;r iïnkaOhla ,shkak' A
C B
O
D
÷
4 2 2 2
3 9
x y xy
z z
4x2
y 2xy
3z 9z
4x2
÷ 2x
3z 9z
wiudk;djfha Ok mQ¾K ixLHd;aul úi÷u ,shkak'
^π = f,i .kak'&22
7
40
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
40
19' rEmfha ±lafjk jD;a;fha flakaøh O fõ' § we;s f;dr;=re
wkqj x ys w.h fidhkak'
20. k.r iNdjla jßmkï whlrkq ,nkafka 8% l m%;sY;hlsks. ;lafiare jákdlu
remsh,a 60 000 /= la jQ ksfjilg jirlg f.ùug isÿ jk jßmkï noao fldmuK o?
21' tla tla úl¾Kh ,ïn j iuÉfÊokh jk p;=ri% j¾. folla kï krkak.
22. A yd B kï îc idïm, foll îc me< ùfï iïNdú;dj ms<sfj<ska 0'8 iy 0'9 fõ'
tla idïm,hlska tla îch ne.ska f.k îc folla frdamKh l< úg tu úg ìc
folu me< ùfï iïNdú;dj fidhkak'
OL/ 2 /32-S-I
2
18' (i) yrialv j¾.M,h 10cm la o È. 12.5 cm lao jk m%siauhl mßudj fidhkak'
(ii) tu mßudjg iudk mßudjla we;s >klhl me;a;l È. fidhkak.
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
43
0ˆˆ 40ABC B AD DC BAD x� �17' ;%sfldaKfha RcqfldaKhls' o o fõ' ys w.h fidhkak'
A
B
C
D
0
x
A
O
B
0
x C
0
70
0
16. AB hkq 6cm ir, f¾Ld LKavhls' ABC = 90
jk mßÈ AB g tla mfilska C msysghs kï
C ys m:h o< rEm igyklska olajkak'
A B
ksfjila i|yd jirlg f.ùug isÿ jk jßmkï noao
fldmuK o@
lrkak'
îc
ACB
^
41
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
41
23' 2a + b = 24
a + 2b = 2 fuu iu.dó iólrK hq.,h úi£fuka f;drj a + b ys w.h fidhkak.
24' k,hla ;=<ska ñks;a;= 5l § c,h ,Sgr 300la .,d hhs' k,h ;=<ska c,h .,d hEfï
YSS>%;dj ;mamrhg ,Sgr lSh o@
25' jÜáhl we;s iqÿ" ly iy frdai u,a m%udK ksrEmKh lsßug
we| we;s jD;a; m%ia;drhla remfha ±la fõ'
(i) iqÿ u,a ksrEmKh lrk flakaøsl LKAvfha
flakaøfha fldaKh fidhkak'
(ii) jÜáfha lyu,a 18la ;snqfKa kï tys we;s iqÿ
u,a .Kk fldmuK o@
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
44
OL/2/32-S-I
ly
frdai
0
150
iqÿ
0
x
;;amrhg ,Sgr lSh o@
jg
fldaKfha w.h fidhkak
42
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
42
m%Yak ish,a,g u fuu m;%fha W;a;r imhkak.
B fldgi
iuka tla;rd iud.ul fldgia ñ, § .ekSu i|yd re. 80 000 la fhdojhs'
fldgil fjf<|fmd< ñ, w.h remsh,a 40/= ls.
1.
i. iukag ñ, § .; yels fldgia .Kk lSh o?
ii. fldgilg f.jkq ,enQ jd¾Isl ,dNdxYh 4/= la kï jd¾Isl wdodhu fidhkak.
iii. by; fldgia .ekSu i|yd fh¥ uqo, jd¾Isl j 12% l fmd,sshla f.jk iaÓr
;ekam;=jl j¾Ihla i|yd fhÿfõ kï" j¾Ihla wjidkfha § ,efnk wdodhu
fldgiaj,ska ,efnk wdodhug jvd fldmuK uqo,lska jeä o@
iv. fojeks wjqreoafoa ,dNdxY wdodhu by; ii fldgfia ,enqKq wdodhug jvd 50% lska
jeäù kï fojeks wjqreoafoa fldgilg f.jkq ,nk jd¾Isl ,dNdxYh fidhkak'
(iii) A fldgfia;a B fldgfia;a j¾.M, w;r wkqmd;h ,shd th ir, u wdldrfhka
olajkak.
(iv) by;a B fldgfia j¾.M,hg iudk j¾.M,hla we;s RcqfldaKdi%dldr má lene,a,la
ì;a;s ieris,a,g tla lsßug wjYH h' PS tla udhsula jk fia fuu má lene,a, tl;=
l< yels wldrh ñkqï iys; j rEm igyfka we| olajkak.
(a) )
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
OL/2/32-S-I
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk
45
2. PQRS RcqfldaKdi%hla ;=< wka;¾.; lrk ,o w¾O
jD;a;hlska(A) yd ;%sfldaKhlska(B) iukaú; ì;a;s
ieris,a,la rEmfha ±la fõ' PQ = 21cm fõ'
(i) A u.ska ±lafjk w¾O jD;a;fha mßñ;sh fidhkak'
(ii) w¾O jD;a;fha j¾.M,h fidhkak'
P
Q R
S
A
B
14cm
7cm
w.h remsh,a 40$} ls'
A B
CD
AB = 14cm
^π = f,i .kak'&
(i) A u.ska ±lafjk w¾O jD;a;fha mßñ;sh fidhkak'
22
7
ii.
,
oud ;j;a
iii.	 nexl=fõ ;ekam;a lsÍfuka iy mqKH lghq;=j, fh§fuka miq b;sß jk uqo, 	
	 fldmuK o@
iv.	 nexl=fõ ;ekam;a lsÍfuka iy mqKH lghq;=j, fh§fuka miq b;sß uqof,ka la
	 ÈhKshg o b;sßh ìß|g o fnod ÿkafka kï ìß|g ,enqKq uqo, fidhkak'
1
3
B1
B1
B2
B3
R1
R2
B2
B3
R1
R2 m<uq .ekSu
fojk .ekSu
(W) kg
i|yka
45
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
45
.Ks;h II
OL/2/32-S-II
A fldgfika m%Yak myl=;a B fldgfika m%Yak myl=;a f;dardf.k m%Yak oyhlg
W;a;r imhkak.
iEu m%Yakhlg u ,l=Kq 10 ne.ska ysñ fõ.
2
m;=f,a wrh r o Wi h o jk Rcq jD;a; is,skavrhl mßudj �r h fõ'
3
wrh r jQ f.da,hl mßudj �r fõ'
ld,h : meh 2 hs ñks;a;= 30 hs
A fldgi
m%Yak mylg muKla W;a;r imhkak'
1. (a) 12% l jd¾Isl fmd,S wkqmd;slh hgf;a uQ,H wdh;khlska remsh,a 30 000 la
Khg .kshs' iudk udisl jdßl jYfhka Kh uqo, yd fmd,sh udi 15 l§ f.ùug
tlÕ úh. fmd,sh .Kkh lrkq ,nkafka ySkjk fYaI l%uhg h'
i. udislj f.jk Kh uqof,a fldgi lSh o?
ii. Kh uqof,a fldgilg udihlg f.jk fmd,sh fidhkak'
iii. Kh uqo, i|yd f.úh hq;= uq¿ fmd,sh fidhkak.
(b) .remsh,a 25 000 la jirlg 11% iq¿ fmd,S wkqmd;slhla hgf;a Khg .;a ñksfil=
remsh,a 33 250 la f.jd Kfhka ksoyia jkafka fldmuK l,lg miqj o?
2. 2
(i) -4 �x �2 w.h m%dka;rh ;=< y = 2 - ( x +1) Y%s;fha m%%ia;drh w¢kak.
2
(ii) m%ia;drh weiqßka -x -2x + 1 = 0 iólrKfha uQ, fidhkak'
2
(iii) a + (x + b) = 0 iólrKfha uQ, 2 yd 4 fõ' kï a yd b i|yd .e<fmk
w.h hq.,hla fidhkak'
3. 3 3 2 2 3
(a). (a+b) = a + 3a b + 3ab + b fõ'
fuu m%;sM,h Ndú;fhka,
3
i. (a - 1) m%idrKh lrkak.
3
ii. (105) ys w.h ,nd .kak.
(b) idOl fidhkak.
2 2 2 2
i. 6a x - a x - a
ii. iq¿ lrkak.
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk
2
2 3
( 5) (5 )a a
�
� �
48
4
3
meh ;=khs
we|
weiqfrka -x2
- 2x + 1 = 0 iólrKfha uQ, fidhkak
(ii)
" m%ia;drh
§ we;s rEmh msgm;a lr wod< o;a; rEm igyfk ys ,l=Kq lr ;s%fldaKñ;sl j.=
Ndú;fhka BAC ys w.h fidhkak'^
(x + 2)
47
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
47
7. (a). iudka;r fYa%Îhl n jk moh Tn = 7n -1 ka ±lafõ.
i. fuu fY%aVsfha uq,a mo ;=k ,shd tu.ska m<uqjk moh yd fmdÿ wka;rh fidhkak'
ii 83 jkafka fuu fY%aÎfha lS jk moh ±hs fidhkak.
iii. fuu fY%aÎfha uq,a mo 12ys ftlHh fidhkak.
(b). .sksfl<s ixo¾Ykhl § m;a;= lrk ,o u,a fjä,a,lska ;re ksl=;a jkafka fufia h.
1 úkdäfha § ;re 512, 2 úkdäfh § ;re 256, 3 úkdäfha § ;re 128 hk wdldrhg
h.
i. u,a fjä,af,ka ;re ksl=;a jkafka .=fKda;a;r fY%aÎhl wkqms<sfj<g nj
fmkajkak.
ii. 7 jk úkdäfha § u,a fjä,af,ka ksl=;a jk ;re m%udKh fldmuK o?
iii. ;re 2la msgjQ miq fjä,a, ksù .sfha kï th ñks;a;= 9la m;a;= jQ nj fmkajkak.
OL/2/32-S-II
8. (a) uOH ,laIH m%fïhh ,shkak'
(b) ABCD iudka;rdi%hls' AC iudka;r j B yryd we¢ f¾LdjÈla l< DE g E ys §
yuq fõ' AB iy BC f¾Ld P ys § o AC iy BD f¾Ld Q ys § o fþokh fõ'
nj fmkajkak'
9. mm/cm mßudKhla iys; ir, odrhla iy lj lgqjla muKla Ndú;fhka
0
i. ABC = 120 , AB = 6.5cm, BC = 6.5cm jkfia ABC ;%sfldaKh ks¾udKh
lrkak'
ii. BX = 5cm jkfia CB mdoh X f;la Èla lrkak.
iii. CX mdoh , X ys § iam¾Y jkfia o" AB mdoh iam¾Y jk fia o jD;a;hla ks¾udKh
lr tys flakaøh O f,i kï lrkak.
iv. tu jD;a;fha wrh uek ,shkak'
v. OB yd AC w;r we;s iïnkaO;dj l=ula o? Bg fya;= olajkak.
10. (a) m;=f,a wrh a o Wi 4r o jQ is,skavrdldr gexlshl yß wvla c,fhka msÍ we;'
m;=f,a wrh r o Wi 2r o jk fla;=jla gexlsfha c,h wmf;a fkdhk mßÈ ta ;=<g
iSsrefjka .s,ajk ,§' túg c,fha yd fla;=fõ uq¿ mßudj la kï gexlsfha
m;=f,a wrh r weiqfrka fidhkak'
(b) ,>q .Kl j.= Ndú;fhka w.h fidhkak.
(1.475) x 18.62
2
0.372
W;a;rh wdikak m<uqjk oYuia:dkhg fokak.
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk
50
1
PQ DE
4
�
3
26 r
3
�
Tn
= 7n - 1
AE
we¢ f¾Ldj Èla l< DE g E ys §
fmkajd" 7 jk úkdäfha § u,a fjä,af,ka ksl=;a jk ;re m%udKh fidhkak'
ii. ;re 2la msgjQ miq fjä,a, ksù .sfha kï th ñks;a;= 9 la m;a;= jQ nj fmkajkak'
C
48
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
48
rEmfha ±lafjkafka O flakaøho wrh 17cm lao jk jD;a;hla ;=<
wka;¾.; lrk ,o ABCD jD;a; p;=ri%hls.
i. AB cHdfha È. 16cm kï O isg AB cHdhg we;s
,ïn ÿr fidhkak.
0
ii. AOB = 58 kï ACB ys w.h fidhkak.
iii. AOB = ACD kï BAD ys w.h fidhkak.
iv. jD;a;h A yd B ,laIHj, § iam¾Y lrk f¾Ld
T ys§ yuqfõ kï, AT yd TB w;r iïnkaOh
,shd Bg mokï jQ m%fïhh i|yka lrkak'
11.
OL/2/32-S-II
.Ks;h, úoHdj yd isxy, úIhhka ;=k i|yd fmryqre mßCIKhlg <uhs 80la fmkS
isákq ,nhs. .Ks;h iu;a <uhska .Kk 36ls. úoHdj iu;a wh 48ls. úIhhka ;=k u
wiu;a msßi 11ls. .Ks;h iy úoHdj iu;a wh 24ls. .Ks;h iy isxy, muKla iu;a
wh 6ls. fuu f;dr;=re we;=<;a wiïmQ¾K fjkarEm igykla my; ±la fõ'
12. (a)
i.
lrkak'
ii. úoHdj muKla iu;a <uhska .Kk lSh o ?
iii. .Ks;h fyda úoHdj fyda iu;a wh lS fokd o?
fjka rem igyk Tfí W;a;r m;%fha msgm;a lr by; § we;s f;dr;=re we;=<;a
(b) nE.hl ngq ñßia weg meleÜgq 4la o, È. ñßia weg meleÜgq 6la o we;. iEu
meleÜgqjla u iudk w;r iu m%udKfhka îc o we;. ngq ñßia weg me< ùfï
iïNdú;dj ls. È. ñßia weg me< ùfï iïNdú;dj ls.
i. wyUq f,i nE.fhka .kakd weg meleÜgqjla ;jdka l< úgtu îc me< ùfï fyda
me< fkdùfï fyda isoaê we;=<;a rela igykla w¢kak.
rela igyk Ndú;fhka
ii. È. ñßia me< ùfï iïNdú;dj fidhkak.
iii. ngq ñßia fyda È. ñßia fyda me< fkdùfï iïNdú;dj fidhkak.
.Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk
A
O
D
C
B
K
T
80
10
9
12
úoHdj
isxy,
.Ks;h
3
5
4
5
51
	 ñßia m%fNao folla jQ ngq ñßia îc me<ùfï iïNdú;dj la o" È. ñßia îc
me<ùfï iïNdú;dj la o fõ'
(i)	 tla tla j¾.fhka wyUq f,i f;dard .kakd îc folla frdamKh l< úg"
tu îc me<ùfï fyda me< fkdùfï isoaê we;=<;a rela igykla we|" tu.ska
tu îc folu me<ùfï iïNdú;dj fidhkak'
(ii) tla îchlaj;a me<fkdùfï iïNdú;dj fidhkak'
3
54
5
3x2
- 2x
3y
ys
6
4
y
x
60
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
60
61
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
61
6
62
OL/2/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
62
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
6464
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
64
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
65
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
65
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
65
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
67
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
67
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
67
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
6868
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
68
A yd ñkqï § we;s úg
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
69
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
69
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
69
^π = f,i .kak'&22
7
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
7070
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
70
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
71
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
71
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
71
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
7272
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
72
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
73
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
73
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
73
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
7676
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
76
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
77
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
77
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
77
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
7878
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
78
mßudKh
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
79
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
79
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
79
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
83
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
83
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
83
{2 ( 1) }
2
n
n
S a n d= + −
iQ;%h Ndú;fhka
úi£ug o ,l=Kq
fokak
1
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
89
OL/3/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
89
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 3
89
9090
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
90
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
90
9191
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
91
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
91
9292
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
92
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
92
9393
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
93
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
93
9494
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
94
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
94
9595
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
95
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
95
9696
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
96
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
96
9797
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
97
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
97
^π = f,i .kak'&22
7
9898
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
98
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
98
9999
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
99
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
99
100100
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
100
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
100
101101
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
101
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
101
103103
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
103
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
103
105105
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
105
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
105
107107
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
107
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
107
109109
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
109
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
109
111111
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
111
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
111
4
fmar 5la yd kdrx 5la .;a úg uqo,
6
4.3± 0.1cm
86± 2m
113113
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
113
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
113
114114
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
114
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
114
116116
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
116
OL/4/32-S-1
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 4
116
117117117
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
117
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
117
119119119
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
119
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
119
120120120
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
120
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
120
121121121
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
121
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
121
122122122
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
122
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
122
123123123
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
123
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
123
124124124
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
124
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
124
125125125
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
125
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
125
^π = f,i .kak'&22
7
126126126
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
126
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
126
^π = f,i .kak'&22
7
128128128
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
128
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
128
^π = f,i .kak'&22
7
130130130
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
130
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
130
132132132
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
132
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
132
133133133
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
133
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
133
134134134
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
134
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
134
135135135
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
135
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
135
136136136
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
136
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
136
137137137
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
137
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
137
m
10
10
3
10
10
10
139139139
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
139
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
139
10
141141141
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
141
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
141
142142142
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
142
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
142
A B
C
D
E
5m
25m
650
300
143143143
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
143
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
143
144144144
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
144
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
144
145145145
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
145
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
145
146146146
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
146
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 5OL/5/32-S-1
146
147147147
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
147
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
147
OL/6/32-S-1
151151151
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
151
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
151
OL/6/32-S-1
152152152
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
152
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
152
OL/6/32-S-1
^π = f,i .kak'&22
7
156156156
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
156
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
156
OL/6/32-S-1
157157157
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
157
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
157
OL/6/32-S-1
159159159
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
159
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
159
OL/6/32-S-1
161161161
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
161
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
161
OL/6/32-S-1
163163163
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
163
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
163
OL/6/32-S-1
166166166
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
166
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
166
OL/6/32-S-1
(a)
167167167
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
167
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
167
OL/6/32-S-1
(a)
168168168
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
168
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
168
OL/6/32-S-1
4 4
4
2
2
2
6
10
10
169169169
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
169
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
169
OL/6/32-S-1
170170170
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
170
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
170
OL/6/32-S-1
4
6
10
171171171
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
171
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
171
OL/6/32-S-1
172172172
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
172
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 6
172
OL/6/32-S-1
173173173
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
173
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
173
OL/7/32-S-1
174174174
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
174
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
174
OL/7/32-S-1
176176176
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
176
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
176
OL/7/32-S-1
178178178
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
178
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
178
OL/7/32-S-1
A
B
C
Ox
1200
181181181
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
181
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
181
OL/7/32-S-1
182182182
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
182
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
182
OL/7/32-S-1
183183183
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
183
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
183
OL/7/32-S-1
184184184
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
184
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
184
OL/7/32-S-1
186186186
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
186
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
186
OL/7/32-S-1
187187187
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
187
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
187
OL/7/32-S-1
189189189
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
189
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
189
OL/7/32-S-1
CBA = 400^
CBD
^
ialkaOh kg
B
197197197
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
197
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
197
OL/7/32-S-1
199199199
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
199
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
199
OL/7/32-S-1
E
E
D
D
200200200
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
200
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
200
OL/7/32-S-1
202202202
.Ks;h m%Yak m;%h - 2
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
202
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk
.Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
.Ks;h m%Yak m;%h - 7
202
OL/7/32-S-1

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Practicing paper grade11 sinhala | Mathematics Model Question Paper 2019

  • 1.
  • 2. w'fmd'i'^idudkH fm<& .Ks;h ^kj ks¾foaYh& úNd. mQ¾j mqyqKq m%Yak m;% ix.%yh w' fmd' i' ^idudkH fm<& úNd.hg kj ks¾foaYh hgf;a 2016 j¾Ifha yd bkamiq fmkS isák isiqkaaa i|yd ms<sfh, lr we;s jákd .%ka:hls' wka;¾.;h ( fuu fmdf;a wka;¾.; uQ,sldx. • m%Yak m;% 07la wka;¾.; fõ iEu m%Yak m;%hla iu`. u • tla tla m%Yakhg wod< wfmalaIK • m%Yak m;%h • iúia;rd;aul ,l=Kq ie,eiau we;=<;a lr we;' úIh ks¾foaYh • 2015 j¾Ifha isg l%shd;aul jk kj úIh ls¾foaYhg wod< j ilid we;' • .Ks;h 1 m;%hg cd;sl wOHdmk wdh;kh y`÷kajd § we;s w;HjYh bf.kqï ixl,am u; mokï j tu m%Yak m;%h ilid we;' • Y%S ,xld úNd. fomd¾;fïka;=j 2016 j¾Ifha yd bka Tíng meje;afjk úNd. j, § .Ks;h úIh i|yd y`ÿkajd § we;s wdlD;sh mokï lrf.k m%Yak m;% ilia lr we;' NdId udOHh ( isxy," fou< yd bx.%Sis udOH ;=fkka u ms<sfh< lr we;' ñ, § .; yels iA:dk cd;sl wOHdmk wdh;kfha .nvdfjka ñ, § .; yels h'
  • 4. .Ks;h - úNd. mQ¾j mqyqKqq m%Yak m;% ix.%yh m%:u uqøKh - 2016 © cd;sl wOHdmk wdh;kh .Ks; fomd¾;fïka;=j úoHd yd ;dlaIK mSGh cd;sl wOHdmk wdh;kh Y%S ,xldj uqøKh ( uqøKd,h cd;sl wOHdmk wdh;kh www.nie.lk
  • 5. iii
  • 6. iv
  • 7. v
  • 8. vi
  • 9. vii
  • 10. viii
  • 11.
  • 12. x
  • 13. xi
  • 14.
  • 15.
  • 16.
  • 17. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 3 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 18.
  • 19.
  • 20. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 6 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 21. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 7 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 22.
  • 23. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 9 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 24.
  • 25. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 11 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 26. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 12 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 27. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 13 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 28.
  • 29.
  • 30. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 16 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 31.
  • 32.
  • 33. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 19 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 34.
  • 35. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 21 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 36.
  • 37.
  • 38.
  • 39. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 25 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 40.
  • 41. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 27 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 42.
  • 43. OL/1/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 29 .Ks;h m%Yak m;%h - 1 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh
  • 44. § we;s ùÔh Nd. folla wvq lrhs'
  • 45. 31 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 31
  • 46.
  • 47.
  • 48. 34 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 34
  • 49. 35 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 35
  • 50.
  • 51.
  • 52. 38 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 38 m%Yak ish,a,g u fuu m;%fha u W;a;r imhkak. A fldgi 1' jD;a;hl mßêh 44 cm fõ. tu wrh we;s w¾O jD;a;hl pdm fldgfia È. fikaáógr lSh o? 2 2 3' x - y = ( '''''''''''''') (........) ysia;ekg .e<fmk idOl ,shd iïmQ¾K lrkak. 4' ABCD p;=ri%fha AB = DC fõ' th iudka;rdi%hla ùu i|yd ;sìh hq;= wjYH;djla i|yka lrkak. 5' ñksiqka 4 fofkl=g Èk 3 § lsishï ld¾hhla ksu l< yels h. tu ld¾hh i|yd jeh jk ñksia Èk .Kk lSho@ 6' A = {1<x<10, x T;af;a ixLHdjls'} A l=,lh wjhj iys;j ,shd olajkak' 7' rEmfha ±lafjk f;dr;=re wkqj tys i|yka x ys w.h lSh o? 0 x70 0 8. LKavdxl ;,fha ksrEmKh jk ir, f¾Ldfõ wkql%uKh fidhkak' 2'2 m%Yak m;%h .Ks;h - I ld,h meh folhs .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh OL/2/32-S-I wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk 41 2' ys w.h lskï mQ¾K ixLHd w;r msysáfha o@18 A B D C 0 1 2 3 4 3 2 1 (4,2) x y x ys w.h lSh o@ fol w;r msysgsfha o@ wrhu we;s w¾O jD;a;hl pdm fldgfia È. fikaáógr iqq¿ lrkak' x2 - 2x y 3y A B CD ABCD iudka;rdi%hls' tys AB yd DC mdo w;r iïnkaO;d folla ,shkak' ys lskï wkqhd; mQ¾K ixLHd fol w;r msysáfha o@
  • 53. 39 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 39 9' idOl fidhkak. 10' my; § we;s ;%sfldaK w;=frka wx. iu ;%sfldaK hq.,la f;dard ,shkak. A BC 60 50 0 0 Q 60 0 50 0 PR Y X Z 70 0 60 0 11' 2x + 1<6 wiudk;djfha mQ¾K ixLHd;aul úi÷ï ,shkak' 13' ABCD iDcqfldaKdi%dldr lvodisfhka rEmfha ±lafjk mßÈ is,skavrhla ;kd we;. is,skavrfha m;=f,a wrh fidhkak. A B CD 10cm 22cm . 10cm .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh 2 20x x�� 42 12' iq¿lrkak. OL/2/32-S-I 14' 1 1 3 2 j;af;ka levQ fmd,a f.dvlska la ksjfia Ndú;hg ;ndf.k b;sßfhka la úl=Kk ,§' úl=KQ m%udKh uq¿ f.ä .Kkska ljr Nd.hla o@ 15' O flakaøh jQ jD;a;hl AB úYalïNhls. CB hkq cHdhls. O isg CB g w¢k ,o ,ïnh OD fõ. AC yd OD w;r iïnkaOhla ,shkak' A C B O D ÷ 4 2 2 2 3 9 x y xy z z 4x2 y 2xy 3z 9z 4x2 ÷ 2x 3z 9z wiudk;djfha Ok mQ¾K ixLHd;aul úi÷u ,shkak' ^π = f,i .kak'&22 7
  • 54. 40 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 40 19' rEmfha ±lafjk jD;a;fha flakaøh O fõ' § we;s f;dr;=re wkqj x ys w.h fidhkak' 20. k.r iNdjla jßmkï whlrkq ,nkafka 8% l m%;sY;hlsks. ;lafiare jákdlu remsh,a 60 000 /= la jQ ksfjilg jirlg f.ùug isÿ jk jßmkï noao fldmuK o? 21' tla tla úl¾Kh ,ïn j iuÉfÊokh jk p;=ri% j¾. folla kï krkak. 22. A yd B kï îc idïm, foll îc me< ùfï iïNdú;dj ms<sfj<ska 0'8 iy 0'9 fõ' tla idïm,hlska tla îch ne.ska f.k îc folla frdamKh l< úg tu úg ìc folu me< ùfï iïNdú;dj fidhkak' OL/ 2 /32-S-I 2 18' (i) yrialv j¾.M,h 10cm la o È. 12.5 cm lao jk m%siauhl mßudj fidhkak' (ii) tu mßudjg iudk mßudjla we;s >klhl me;a;l È. fidhkak. .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh 43 0ˆˆ 40ABC B AD DC BAD x� �17' ;%sfldaKfha RcqfldaKhls' o o fõ' ys w.h fidhkak' A B C D 0 x A O B 0 x C 0 70 0 16. AB hkq 6cm ir, f¾Ld LKavhls' ABC = 90 jk mßÈ AB g tla mfilska C msysghs kï C ys m:h o< rEm igyklska olajkak' A B ksfjila i|yd jirlg f.ùug isÿ jk jßmkï noao fldmuK o@ lrkak' îc ACB ^
  • 55. 41 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 41 23' 2a + b = 24 a + 2b = 2 fuu iu.dó iólrK hq.,h úi£fuka f;drj a + b ys w.h fidhkak. 24' k,hla ;=<ska ñks;a;= 5l § c,h ,Sgr 300la .,d hhs' k,h ;=<ska c,h .,d hEfï YSS>%;dj ;mamrhg ,Sgr lSh o@ 25' jÜáhl we;s iqÿ" ly iy frdai u,a m%udK ksrEmKh lsßug we| we;s jD;a; m%ia;drhla remfha ±la fõ' (i) iqÿ u,a ksrEmKh lrk flakaøsl LKAvfha flakaøfha fldaKh fidhkak' (ii) jÜáfha lyu,a 18la ;snqfKa kï tys we;s iqÿ u,a .Kk fldmuK o@ .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh 44 OL/2/32-S-I ly frdai 0 150 iqÿ 0 x ;;amrhg ,Sgr lSh o@ jg fldaKfha w.h fidhkak
  • 56. 42 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 42 m%Yak ish,a,g u fuu m;%fha W;a;r imhkak. B fldgi iuka tla;rd iud.ul fldgia ñ, § .ekSu i|yd re. 80 000 la fhdojhs' fldgil fjf<|fmd< ñ, w.h remsh,a 40/= ls. 1. i. iukag ñ, § .; yels fldgia .Kk lSh o? ii. fldgilg f.jkq ,enQ jd¾Isl ,dNdxYh 4/= la kï jd¾Isl wdodhu fidhkak. iii. by; fldgia .ekSu i|yd fh¥ uqo, jd¾Isl j 12% l fmd,sshla f.jk iaÓr ;ekam;=jl j¾Ihla i|yd fhÿfõ kï" j¾Ihla wjidkfha § ,efnk wdodhu fldgiaj,ska ,efnk wdodhug jvd fldmuK uqo,lska jeä o@ iv. fojeks wjqreoafoa ,dNdxY wdodhu by; ii fldgfia ,enqKq wdodhug jvd 50% lska jeäù kï fojeks wjqreoafoa fldgilg f.jkq ,nk jd¾Isl ,dNdxYh fidhkak' (iii) A fldgfia;a B fldgfia;a j¾.M, w;r wkqmd;h ,shd th ir, u wdldrfhka olajkak. (iv) by;a B fldgfia j¾.M,hg iudk j¾.M,hla we;s RcqfldaKdi%dldr má lene,a,la ì;a;s ieris,a,g tla lsßug wjYH h' PS tla udhsula jk fia fuu má lene,a, tl;= l< yels wldrh ñkqï iys; j rEm igyfka we| olajkak. (a) ) .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh OL/2/32-S-I wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk 45 2. PQRS RcqfldaKdi%hla ;=< wka;¾.; lrk ,o w¾O jD;a;hlska(A) yd ;%sfldaKhlska(B) iukaú; ì;a;s ieris,a,la rEmfha ±la fõ' PQ = 21cm fõ' (i) A u.ska ±lafjk w¾O jD;a;fha mßñ;sh fidhkak' (ii) w¾O jD;a;fha j¾.M,h fidhkak' P Q R S A B 14cm 7cm w.h remsh,a 40$} ls' A B CD AB = 14cm ^π = f,i .kak'& (i) A u.ska ±lafjk w¾O jD;a;fha mßñ;sh fidhkak' 22 7
  • 57. ii. , oud ;j;a iii. nexl=fõ ;ekam;a lsÍfuka iy mqKH lghq;=j, fh§fuka miq b;sß jk uqo, fldmuK o@ iv. nexl=fõ ;ekam;a lsÍfuka iy mqKH lghq;=j, fh§fuka miq b;sß uqof,ka la ÈhKshg o b;sßh ìß|g o fnod ÿkafka kï ìß|g ,enqKq uqo, fidhkak' 1 3 B1 B1 B2 B3 R1 R2 B2 B3 R1 R2 m<uq .ekSu fojk .ekSu
  • 59. 45 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 45 .Ks;h II OL/2/32-S-II A fldgfika m%Yak myl=;a B fldgfika m%Yak myl=;a f;dardf.k m%Yak oyhlg W;a;r imhkak. iEu m%Yakhlg u ,l=Kq 10 ne.ska ysñ fõ. 2 m;=f,a wrh r o Wi h o jk Rcq jD;a; is,skavrhl mßudj �r h fõ' 3 wrh r jQ f.da,hl mßudj �r fõ' ld,h : meh 2 hs ñks;a;= 30 hs A fldgi m%Yak mylg muKla W;a;r imhkak' 1. (a) 12% l jd¾Isl fmd,S wkqmd;slh hgf;a uQ,H wdh;khlska remsh,a 30 000 la Khg .kshs' iudk udisl jdßl jYfhka Kh uqo, yd fmd,sh udi 15 l§ f.ùug tlÕ úh. fmd,sh .Kkh lrkq ,nkafka ySkjk fYaI l%uhg h' i. udislj f.jk Kh uqof,a fldgi lSh o? ii. Kh uqof,a fldgilg udihlg f.jk fmd,sh fidhkak' iii. Kh uqo, i|yd f.úh hq;= uq¿ fmd,sh fidhkak. (b) .remsh,a 25 000 la jirlg 11% iq¿ fmd,S wkqmd;slhla hgf;a Khg .;a ñksfil= remsh,a 33 250 la f.jd Kfhka ksoyia jkafka fldmuK l,lg miqj o? 2. 2 (i) -4 �x �2 w.h m%dka;rh ;=< y = 2 - ( x +1) Y%s;fha m%%ia;drh w¢kak. 2 (ii) m%ia;drh weiqßka -x -2x + 1 = 0 iólrKfha uQ, fidhkak' 2 (iii) a + (x + b) = 0 iólrKfha uQ, 2 yd 4 fõ' kï a yd b i|yd .e<fmk w.h hq.,hla fidhkak' 3. 3 3 2 2 3 (a). (a+b) = a + 3a b + 3ab + b fõ' fuu m%;sM,h Ndú;fhka, 3 i. (a - 1) m%idrKh lrkak. 3 ii. (105) ys w.h ,nd .kak. (b) idOl fidhkak. 2 2 2 2 i. 6a x - a x - a ii. iq¿ lrkak. .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk 2 2 3 ( 5) (5 )a a � � � 48 4 3 meh ;=khs we| weiqfrka -x2 - 2x + 1 = 0 iólrKfha uQ, fidhkak (ii) " m%ia;drh
  • 60. § we;s rEmh msgm;a lr wod< o;a; rEm igyfk ys ,l=Kq lr ;s%fldaKñ;sl j.= Ndú;fhka BAC ys w.h fidhkak'^ (x + 2)
  • 61. 47 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 47 7. (a). iudka;r fYa%Îhl n jk moh Tn = 7n -1 ka ±lafõ. i. fuu fY%aVsfha uq,a mo ;=k ,shd tu.ska m<uqjk moh yd fmdÿ wka;rh fidhkak' ii 83 jkafka fuu fY%aÎfha lS jk moh ±hs fidhkak. iii. fuu fY%aÎfha uq,a mo 12ys ftlHh fidhkak. (b). .sksfl<s ixo¾Ykhl § m;a;= lrk ,o u,a fjä,a,lska ;re ksl=;a jkafka fufia h. 1 úkdäfha § ;re 512, 2 úkdäfh § ;re 256, 3 úkdäfha § ;re 128 hk wdldrhg h. i. u,a fjä,af,ka ;re ksl=;a jkafka .=fKda;a;r fY%aÎhl wkqms<sfj<g nj fmkajkak. ii. 7 jk úkdäfha § u,a fjä,af,ka ksl=;a jk ;re m%udKh fldmuK o? iii. ;re 2la msgjQ miq fjä,a, ksù .sfha kï th ñks;a;= 9la m;a;= jQ nj fmkajkak. OL/2/32-S-II 8. (a) uOH ,laIH m%fïhh ,shkak' (b) ABCD iudka;rdi%hls' AC iudka;r j B yryd we¢ f¾LdjÈla l< DE g E ys § yuq fõ' AB iy BC f¾Ld P ys § o AC iy BD f¾Ld Q ys § o fþokh fõ' nj fmkajkak' 9. mm/cm mßudKhla iys; ir, odrhla iy lj lgqjla muKla Ndú;fhka 0 i. ABC = 120 , AB = 6.5cm, BC = 6.5cm jkfia ABC ;%sfldaKh ks¾udKh lrkak' ii. BX = 5cm jkfia CB mdoh X f;la Èla lrkak. iii. CX mdoh , X ys § iam¾Y jkfia o" AB mdoh iam¾Y jk fia o jD;a;hla ks¾udKh lr tys flakaøh O f,i kï lrkak. iv. tu jD;a;fha wrh uek ,shkak' v. OB yd AC w;r we;s iïnkaO;dj l=ula o? Bg fya;= olajkak. 10. (a) m;=f,a wrh a o Wi 4r o jQ is,skavrdldr gexlshl yß wvla c,fhka msÍ we;' m;=f,a wrh r o Wi 2r o jk fla;=jla gexlsfha c,h wmf;a fkdhk mßÈ ta ;=<g iSsrefjka .s,ajk ,§' túg c,fha yd fla;=fõ uq¿ mßudj la kï gexlsfha m;=f,a wrh r weiqfrka fidhkak' (b) ,>q .Kl j.= Ndú;fhka w.h fidhkak. (1.475) x 18.62 2 0.372 W;a;rh wdikak m<uqjk oYuia:dkhg fokak. .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk 50 1 PQ DE 4 � 3 26 r 3 � Tn = 7n - 1 AE we¢ f¾Ldj Èla l< DE g E ys § fmkajd" 7 jk úkdäfha § u,a fjä,af,ka ksl=;a jk ;re m%udKh fidhkak' ii. ;re 2la msgjQ miq fjä,a, ksù .sfha kï th ñks;a;= 9 la m;a;= jQ nj fmkajkak' C
  • 62. 48 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 48 rEmfha ±lafjkafka O flakaøho wrh 17cm lao jk jD;a;hla ;=< wka;¾.; lrk ,o ABCD jD;a; p;=ri%hls. i. AB cHdfha È. 16cm kï O isg AB cHdhg we;s ,ïn ÿr fidhkak. 0 ii. AOB = 58 kï ACB ys w.h fidhkak. iii. AOB = ACD kï BAD ys w.h fidhkak. iv. jD;a;h A yd B ,laIHj, § iam¾Y lrk f¾Ld T ys§ yuqfõ kï, AT yd TB w;r iïnkaOh ,shd Bg mokï jQ m%fïhh i|yka lrkak' 11. OL/2/32-S-II .Ks;h, úoHdj yd isxy, úIhhka ;=k i|yd fmryqre mßCIKhlg <uhs 80la fmkS isákq ,nhs. .Ks;h iu;a <uhska .Kk 36ls. úoHdj iu;a wh 48ls. úIhhka ;=k u wiu;a msßi 11ls. .Ks;h iy úoHdj iu;a wh 24ls. .Ks;h iy isxy, muKla iu;a wh 6ls. fuu f;dr;=re we;=<;a wiïmQ¾K fjkarEm igykla my; ±la fõ' 12. (a) i. lrkak' ii. úoHdj muKla iu;a <uhska .Kk lSh o ? iii. .Ks;h fyda úoHdj fyda iu;a wh lS fokd o? fjka rem igyk Tfí W;a;r m;%fha msgm;a lr by; § we;s f;dr;=re we;=<;a (b) nE.hl ngq ñßia weg meleÜgq 4la o, È. ñßia weg meleÜgq 6la o we;. iEu meleÜgqjla u iudk w;r iu m%udKfhka îc o we;. ngq ñßia weg me< ùfï iïNdú;dj ls. È. ñßia weg me< ùfï iïNdú;dj ls. i. wyUq f,i nE.fhka .kakd weg meleÜgqjla ;jdka l< úgtu îc me< ùfï fyda me< fkdùfï fyda isoaê we;=<;a rela igykla w¢kak. rela igyk Ndú;fhka ii. È. ñßia me< ùfï iïNdú;dj fidhkak. iii. ngq ñßia fyda È. ñßia fyda me< fkdùfï iïNdú;dj fidhkak. .Ks; fomd¾;fïka;=j - cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& m%;sM, by< kxjd,Sfï jev igyk A O D C B K T 80 10 9 12 úoHdj isxy, .Ks;h 3 5 4 5 51 ñßia m%fNao folla jQ ngq ñßia îc me<ùfï iïNdú;dj la o" È. ñßia îc me<ùfï iïNdú;dj la o fõ' (i) tla tla j¾.fhka wyUq f,i f;dard .kakd îc folla frdamKh l< úg" tu îc me<ùfï fyda me< fkdùfï isoaê we;=<;a rela igykla we|" tu.ska tu îc folu me<ùfï iïNdú;dj fidhkak' (ii) tla îchlaj;a me<fkdùfï iïNdú;dj fidhkak' 3 54 5
  • 64.
  • 65. ys
  • 66. 6 4
  • 67.
  • 68.
  • 69. y x
  • 70.
  • 71.
  • 72.
  • 73.
  • 74. 60 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 60
  • 75. 61 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 61 6
  • 76. 62 OL/2/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 62
  • 77.
  • 78. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 6464 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 64
  • 79. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 65 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 65 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 65
  • 80.
  • 81. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 67 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 67 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 67
  • 82. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 6868 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 68 A yd ñkqï § we;s úg
  • 83. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 69 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 69 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 69 ^π = f,i .kak'&22 7
  • 84. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 7070 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 70
  • 85. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 71 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 71 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 71
  • 86. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 7272 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 72
  • 87. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 73 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 73 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 73
  • 88.
  • 89.
  • 90. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 7676 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 76
  • 91. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 77 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 77 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 77
  • 92. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 7878 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 78 mßudKh
  • 93. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 79 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 79 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 79
  • 94.
  • 95.
  • 96.
  • 97. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 83 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 83 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 83
  • 98.
  • 99.
  • 100.
  • 101. {2 ( 1) } 2 n n S a n d= + − iQ;%h Ndú;fhka úi£ug o ,l=Kq fokak
  • 102. 1
  • 103. .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 89 OL/3/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 89 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 3 89
  • 104. 9090 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 90 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 90
  • 105. 9191 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 91 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 91
  • 106. 9292 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 92 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 92
  • 107. 9393 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 93 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 93
  • 108. 9494 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 94 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 94
  • 109. 9595 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 95 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 95
  • 110. 9696 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 96 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 96
  • 111. 9797 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 97 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 97 ^π = f,i .kak'&22 7
  • 112. 9898 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 98 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 98
  • 113. 9999 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 99 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 99
  • 114. 100100 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 100 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 100
  • 115. 101101 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 101 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 101
  • 116.
  • 117. 103103 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 103 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 103
  • 118.
  • 119. 105105 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 105 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 105
  • 120.
  • 121. 107107 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 107 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 107
  • 122.
  • 123. 109109 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 109 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 109
  • 124.
  • 125. 111111 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 111 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 111 4
  • 126. fmar 5la yd kdrx 5la .;a úg uqo, 6 4.3± 0.1cm 86± 2m
  • 127. 113113 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 113 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 113
  • 128. 114114 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 114 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 114
  • 129.
  • 130. 116116 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 116 OL/4/32-S-1 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 4 116
  • 131. 117117117 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 117 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 117
  • 132.
  • 133. 119119119 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 119 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 119
  • 134. 120120120 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 120 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 120
  • 135. 121121121 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 121 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 121
  • 136. 122122122 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 122 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 122
  • 137. 123123123 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 123 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 123
  • 138. 124124124 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 124 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 124
  • 139. 125125125 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 125 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 125 ^π = f,i .kak'&22 7
  • 140. 126126126 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 126 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 126
  • 141. ^π = f,i .kak'&22 7
  • 142. 128128128 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 128 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 128 ^π = f,i .kak'&22 7
  • 143.
  • 144. 130130130 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 130 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 130
  • 145.
  • 146. 132132132 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 132 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 132
  • 147. 133133133 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 133 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 133
  • 148. 134134134 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 134 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 134
  • 149. 135135135 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 135 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 135
  • 150. 136136136 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 136 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 136
  • 151. 137137137 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 137 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 137 m 10 10
  • 153. 139139139 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 139 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 139 10
  • 154.
  • 155. 141141141 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 141 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 141
  • 156. 142142142 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 142 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 142 A B C D E 5m 25m 650 300
  • 157. 143143143 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 143 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 143
  • 158. 144144144 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 144 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 144
  • 159. 145145145 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 145 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 145
  • 160. 146146146 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 146 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 5OL/5/32-S-1 146
  • 161. 147147147 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 147 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 147 OL/6/32-S-1
  • 162.
  • 163.
  • 164.
  • 165. 151151151 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 151 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 151 OL/6/32-S-1
  • 166. 152152152 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 152 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 152 OL/6/32-S-1
  • 167.
  • 168.
  • 169. ^π = f,i .kak'&22 7
  • 170. 156156156 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 156 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 156 OL/6/32-S-1
  • 171. 157157157 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 157 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 157 OL/6/32-S-1
  • 172.
  • 173. 159159159 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 159 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 159 OL/6/32-S-1
  • 174.
  • 175. 161161161 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 161 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 161 OL/6/32-S-1
  • 176.
  • 177. 163163163 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 163 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 163 OL/6/32-S-1
  • 178.
  • 179.
  • 180. 166166166 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 166 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 166 OL/6/32-S-1
  • 181. (a) 167167167 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 167 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 167 OL/6/32-S-1 (a)
  • 182. 168168168 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 168 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 168 OL/6/32-S-1 4 4 4 2 2 2 6 10 10
  • 183. 169169169 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 169 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 169 OL/6/32-S-1
  • 184. 170170170 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 170 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 170 OL/6/32-S-1 4 6 10
  • 185. 171171171 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 171 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 171 OL/6/32-S-1
  • 186. 172172172 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 172 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 6 172 OL/6/32-S-1
  • 187. 173173173 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 173 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 173 OL/7/32-S-1
  • 188. 174174174 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 174 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 174 OL/7/32-S-1
  • 189.
  • 190. 176176176 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 176 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 176 OL/7/32-S-1
  • 191.
  • 192. 178178178 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 178 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 178 OL/7/32-S-1
  • 193.
  • 195. 181181181 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 181 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 181 OL/7/32-S-1
  • 196. 182182182 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 182 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 182 OL/7/32-S-1
  • 197. 183183183 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 183 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 183 OL/7/32-S-1
  • 198. 184184184 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 184 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 184 OL/7/32-S-1
  • 199.
  • 200. 186186186 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 186 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 186 OL/7/32-S-1
  • 201. 187187187 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 187 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 187 OL/7/32-S-1
  • 202.
  • 203. 189189189 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 189 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 189 OL/7/32-S-1 CBA = 400^ CBD ^
  • 204.
  • 205.
  • 206.
  • 207.
  • 209.
  • 210. B
  • 211. 197197197 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 197 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 197 OL/7/32-S-1
  • 212.
  • 213. 199199199 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk 199 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 199 OL/7/32-S-1 E E D D
  • 214. 200200200 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 200 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 200 OL/7/32-S-1
  • 215.
  • 216. 202202202 .Ks;h m%Yak m;%h - 2 .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh 202 wOHhk fmdÿ iy;sl m;% ^idudkH fm<& .Ks;h m%;sM, by< kxjd,Sfï jevigyk .Ks; fomd¾;fïka;=j" cd;sl wOHdmk wdh;kh .Ks;h m%Yak m;%h - 7 202 OL/7/32-S-1