Pali Tripitaka and the Mission of Buddhist Monks to Preserve itWewala Dhammaloka
To preserve the Pati Tripitaka, Buddhist Monks have played a big role during past centuries. The information in Buddhist commentaries and comparative literature have been discussed in details.
Pali Tripitaka and the Mission of Buddhist Monks to Preserve itWewala Dhammaloka
To preserve the Pati Tripitaka, Buddhist Monks have played a big role during past centuries. The information in Buddhist commentaries and comparative literature have been discussed in details.
Sinhabahu is a legendary king of ancient India, mentioned in Sri Lankan texts. He was father of Vijaya of Sri Lanka and king of Sinhapura. He was the son of Supadevi, a Vanga Kingdom princess. According to the Mahavamsa's folklore, Sinhabahu's father was a lion and his mother a princess of Vanga. Wikipedia
Spouse: Sinhasivali
Children: Prince Vijaya
Grandchildren: Disala, Jeevahatta
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11. 2.Ks;h myiqfjka - 3 ùc .Ks;h
mka;s ldur f.dvke.s,af,a we;s W`M leg .Kk i|yd
iqÿiq ùÔh ixfla;hla fhdackd lrkak'
mka;s ldur f.dvke.s,af,a we;s W`M leg .Kk n f,i
.ksuq'
wNHdih 1
^1& my; oS we;s j.ka;sj, i|yka ixLHd i|yd ùÔh ixfla; fhdackd lrkak'
(i) ú,l we;s u,a .Kk
(ii) l=Uqrl isák ù l=re,a,ka .Kk
(iii) ;eô,s j,a,l we;s f.ä .Kk
(iv) mdif,a we;s isiq fïi .Kk
(v) mehl oS tla;rd ykaoshla miqlr hk jdyk .Kk
(vi) kq. .fia t,a,S isák jjq,ka .Kk
(vii) wo oskfha mdif,a isiqkaf.a meñKSu
(viii) mdif,a 8 fY%aKsfha bf.kqu ,nk isiqka .Kk
lsß msá ñ, remsh,a 50lska jeä úKs' uq,ska ;snQ ñ,
remsh,a x kï kj ñ, remsh,a x+50 la fõ'
^2& my; oS we;s f;dr;=re weiqfrka ksjeros W;a;rh f;dard háka brla w¢kak'
^1& ksu,af.a jhi wjqreÿ n fõ' wks,a" ksu,ag jvd wjqreÿ 5lska jeäuy,a h' wks,af.a
jhi lSho @
(i) wjqreÿ 5n (ii) wjqreÿ 5 n (iii) wjqreÿ 5n (iv) wjqreÿ 5n
^2& uf.a Wi fikaá óg¾ x fõ' u,a,S" ug jvd fikaá óg¾ 10 lska wvqh' u,a,Sf.a Wi
fikaá óg¾j,ska lSho@
(i) 10x (ii)
10
x
(iii) 10x (iv) 10x
^3& miq.sh jif¾ f.j;af;a wdodhu remsh,a m fõ' fï jif¾ wdodhu miq.sh jif¾
wdodhu fuka mia .=Khla fõ hehs wfmalaId lrhs' fï jif¾ wfmalaIs; wdodhu
remsh,a lSho @
(i) 5m (ii) 5
m (iii) 5m (iv)
5
m
12. 3.Ks;h myiqfjka - 3 ùc .Ks;h
^4& .il jid isá .srjqka .Kk 4 fõ' .srjqka x ixLHdjla bka bj;a jQfha kï tu .fia
b;sß jQ .srjqka .Kk lSho @
(i) 4x (ii) 4 x (iii) 4x (iv)
4
x
^5& uf.a <Õ ;snQ uqoaor .Kk u fõ' tajd iudk j kx.s,d ;sfokdg fnod fokq ,eìKs'
tla wfhl=g ,enqKq uqoaor .Kk lSho@
(i) 3u (ii) 3u (iii) 3u (iv)
3
u
^3& icd;Sh f.dvj,a ;=klg fjka lrkak'
2x 10 11x 3y 8 3
4y 5x 15x 6y 14 x
4y 10
2x
^4& ksjeros W;a;rh fidhd" hd lrkak'
(i) 3 2 8
3 11
4 7 4
10 2 5
5 3 12
m m m
m m m
m m m
m m m
m m m
(ii) 3 10
5 2 5
12 2
20 15 3
20 10 11
m m x
m m m
x x m
m m m
x x x
13. 4.Ks;h myiqfjka - 3 ùc .Ks;h
^5& .=K lr" ksjerÈ W;a;rh" bÈßfhka we;s ;s;a br u; ,shkak'
(i) ........
5 2 10
(ii) ........
2 2x x
(iii) ........
3 m
(iv) ........
5 2 10m m
(v) ........
10 4x
(vi) ........
5 6x
(vii)
2
........
x x x
(viii) ........
2x x
(ix)
2
........
5 3 15a a a
(x) 7 2 ......m m
^6& wod< .Ks; l¾uhg wkqj j.=fõ ysia;eka mqrjkak'
+ 2 3 7 10 15
4
10
2
5
x
x
x
4 2 4 3
7x
2 15x
5 3x
^7& wod< .Ks; l¾uhg wkqj j.=fõ ysia;eka mqrjkak'
2 4 10 -3 n
5 10 -15
10
2
3 12
x n x
m m
m
a a
14. 5.Ks;h myiqfjka - 3 ùc .Ks;h
^8& m%ldYkj, tl;=j ,efnk fia ysia;eka mqrjkak'
(i) 2 3
4 5
..... 8
x y
x y
y
(ii) 3 7
5 2
8 .....
m n
m n
m
(iii) 7 6
2 3
..... 9
a b
a b
b
(iv) 4
3 5
. 4 .....
x y
x y
x
^9& iq`M lrkak
(i) 3 9 2 3
12 ..........
x x y y
x
(ii) 4 6 2 8
........................
x y x y
(iii) 6 2 8 5
4 ............
m m n n
m
(iv) 9 7 3 5
.....................
a c a c
^10& m<uq m%ldYkfhka fojk m%ldYkh wvq lrkak'
(i) 2 3 2x , x (ii) 3 4 3y , y
(iii) 5 2 4a , 3a (iv) 4 2 3b , b
^11& j.=j, ysia;eka mqrjkak'
(i)
x x + 5
10 15
15 20
20 25
25
(ii) n n - 10
20 10
30
40
50
(iii) m m3
5 15
6 18
8
10
(iv)
10
x
x
20 2
30
50
70
(v)
20 4
30
40
60
x x
5
15. 6.Ks;h myiqfjka - 3 ùc .Ks;h
^12& j.=j, i|yka ysia fldgqjg .e<fmk m%ldYk fhdokak'
(i)
6 10
8 12
10 14
12 16
x
(ii)
15 10
20 15
25 20
30 25
x
(iii)
12 6
14 7
16 8
20 10
m
(iv)
4 20
10 50
12 60
15 75
t
^13& .=K lrñka j.= mqrjkak' ysia;eka iïmQ¾K lrkak'
i'
3 5
2 2 6
m n
m
2 3 ........ ........
2 5 ......... .........
m
n
ii'
4 10
5 5
p x
p
5 4 .......... ..........
5 10 ......... ..........
p
x
^14& § we;s m%ldYkh m%idrKh l< úg ,efnk W;a;rh fidhd hd lrkak'
1'
i. 4 7 5 35
ii. 5 7 12 60
iii. 10 4 4 35
iv. 12 5 10 40
x x
x u
m x
u m
2'
i. 2 10 10 30
ii. 3 5 20 2
iii. 4 8 15 3
iv. 5 2 6 4 32
x x
x x
x x
x x
4 28x
16. 7.Ks;h myiqfjka - 3 ùc .Ks;h
^15& oS we;s ñkqï wkqj rEmfha fldgiaj, j¾.M, i|yka lrkak'
(a)
x
x 5
x2
.................
(b)
m
m 7
5 .................m5
........ .................
^16& i'
oS we;s ñkqï weiqfrka rEmfha fldgqj,
j¾.M, i|yka lrkak'
ii' iïmQ¾K rEmfha os. lSh o @ ................
4n
m<, lSh o @ ''''''''''
iii' uq`M rEmfha j¾.M,h os. yd m<, weiqfrka 4 ..............n
iv' uq`M rEmfha j¾.M,h l=vd fldgia y;f¾ tl;=jla f,i 2
n
^17& oaúmo m%ldYk .=Klr W;a;r ,nd.kak'
i'
2
2
5 10
10 5 10
10 ......... .........
......... .........
c c
c c c
c c
c
ii'
2
2 5
5 2 ........ ........
........ ........ ........
........ ........ ........
x x
x x
x
iii'
10 5
5 10 ...........
...................................
...................................
x x
x x
iv'
7 10
.......... 7 ...........
...................................
...................................
x x
x
v'
4 5
5 4 ...........
...................................
...................................
x x
x x
n
n 4
3
n
2
.................
........ .................
25. 16.Ks;h myiqfjka - 3 ùc .Ks;h
3'0 ùÔh m%ldYkj, l=vdu fmdÿ .=Kdldrh
fmr mÍlaIKh 3
ksjerÈ W;a;rh háka brla w¢kak'
1' x yd y ys l=vdu fmdÿ .=Kdldrh"
(i) x fõ' (ii) y fõ' (iii) x y fõ' (iv) 2 2
x y fõ'
2' 5 iy 2 p ys l=vdu fmdÿ .=Kdldrh"
(i) 10 fõ' (ii) 10p fõ' (iii) 2p fõ' (iv) 7p fõ'
3' 2" 3x iy y ys l=vdu fmdÿ .=Kdldrh"
(i) 6x fõ' (ii) 6xy fõ' (iii) xy fõ' (iv) 6 fõ'
4' 2
2 ,3 ,4a b a ys l=vdu fmdÿ .=Kdldrh"
(i) 2
24a b fõ' (ii) 3
24a b fõ' (iii) 3
12a b fõ' (iv) 2
12a b fõ'
5' 6 ,9p q iy 2
q ys l=vdu fmdÿ .=Kdldrh"
(i) 2
6pq fõ' (ii) 6 pq fõ' (iii) 2
18pq fõ' (iv) 2
18 p q fõ'
26. 17.Ks;h myiqfjka - 3 ùc .Ks;h
ùÔh mo lsysmhlska fnÈh yels l=vdu ùÔh moh"
tu ùÔh moj, l=vdu fmdÿ .=Kdldrh f,i ye¢kafõ'
5a iy 2
2ab ys l=vdu fmdÿ .=Kdldrh fidhuq'
5 5a a
2
2ab 2 a b b
5 iy 2 ys l=vdu fmdÿ .=Kdldrh 10 fõ'
a ys jeäu n,h a fõ'
b ys jeäu n,h 2
b fõ'
5a iy 2
2ab l=vdu fmdÿ .=Kdldrh 2
10ab
2 2
4 ,6 ,3xy y x ys l=vdu fmdÿ .=Kdldrh fidhuq'
2
4 2 2xy x y y
6 2 3y y
2
3 3x x x
4" 6 yd 3 l=vdu fmdÿ .=Kdldrh 2 2 3 12
x ys jeäu n,h 2
x x x
y ys jeäu n,h 2
y y y
2
4 ,6xy y yd 3 2
x ys l=vdu fmdÿ .=Kdldrh
2 2
12x y fõ'
wNHdih 3
(1) A fldgfia we;s ùÔh moj, l=vdu fmdÿ .=Kdldrh B fldgiska f;dard hd
lrkak'
A B
2 2
2 2
2
3 ,
,
2 ,3
2 ,6 ,5
3 ,4
5 ,10
7 ,21
b c
xy yz
x y
a ab a
x y y
a b a
bc b
2 2
2
2 2
6
12
21
30
10
3
xy
x y
bc
xyz
ab
a b
bc
27. 18.Ks;h myiqfjka - 3 ùc .Ks;h
(2) jryka ;=<ska ksjerÈ ms<s;=re f;dard ysia;eka mqrjkak'
ùÔh mo l=vdu fmdÿ .=Kdldrh ms<s;=re
2
( ) 3 ,2 ,i a b ab ..................................... 2 2
6 ,6 ,6ab a b ab
( ) 3 ,4 ,5ii xy y x .................................... 20 ,60 ,12xy xy xy
2 2
( ) 6 ,5 ,iii a b ab ab .................................... 2 2 2 2 2 2
6 ,30 ,30 ,30a b ab a b a b
2 2 2
( ) 5 ,8 ,4iv p q r ................................... 2 2 2 2 2 2 2
40 ,40 ,40 ,4p q r pqr p qr p q r
( ) 6,3 ,8v x b ................................... 48 ,24 ,144 ,36bx bx bx bx
(3) (i) isg (iv) olajd m%Yak i|yd ksjerÈ ms<s;=r háka brla w¢kak'
(i) 3p yd 8 ys l=vdu fmdÿ .=Kdldrh"
(a) 24 fõ' (b) 24 p fõ' (c) 12 p fõ' (d) 16 p fõ'
(ii) 2 2
5 ,7 ,x y xy ys l=vdu fmdÿ .=Kdldrh"
(a) 35xy fõ' (b) 2
35x y fõ' (c) 2 2
35x y fõ' (d) 2
35xy fõ'
(iii) 5 ,2a ab yd 2
3a ys l=vdu fmdÿ .=Kdldrh"
(a) 30ab fõ' (b) 2 2
30a b fõ' (c) 2
30a b fõ' (d) 2 2
30a b fõ'
(iv) 2 2
6 ,9 ,2xy x y ys l=vdu fmdÿ .=Kdldrh"
(a) 2 2
08x y fõ' (b) 2 2
54x y fõ' (c) 2 2
18x y fõ' (d) 18xy fõ'
(4) my; § we;s ùÔh moj, l=vdu fmdÿ .=Kdldrh fidhkak'
2 2 2
2
2 2 2
2 2
2
( ) ,4 ,8
( ) 4,6 ,8
( ) 5 ,10 ,2
( ) , ,
( ) 12,8 ,4
i ab a b a b
ii a b b
iii ab a b ab
iv p q pq pq
v k k
28. 19.Ks;h myiqfjka - 3 ùc .Ks;h
4'0 ùÔh Nd.
fmr mÍlaIKh 4
^1& my; oelafjk Nd. w;ßka ùÔh Nd. f;dard tajd háka brla w¢kak'
3
( )
7
i ( )
3
a
ii ( )
2
b
iii
a
1
( )
4
iv
2
( )v
P
3
( )
x
vi
x
^2& yrh x jq ùÔh Nd.hla yd ,jh y jq ùÔh Nd.hla ,shkak'
^3& isg ^6& f;la .eg¨ i|yd ksjerÈ W;a;rh háka brla w¢kak'
^3&
2
5 5
x x
iq¿ l< úg W;a;rh jkafka"
3
( )
10
x
i h
3
( )
25
x
ii h
3
( )
5
x
iii h
6
( )
25
x
iv h
^4&
3p p
r r
iq¿ l< úg ,efnk W;a;rh jkafka"
2
2
3
( )
p
i
r
h
2
( )
p
ii
r
h ( ) 2iii ph 2
2
( )
p
iv
r
h
^5&
2 7
3
x
y
g iudk jkafka"
14
( )
3
x
i
y
h
3
( )
14
y
ii h
21
( )
x
iii
y
h
14
( )
3
x
iv h
^6&
3
4
a
y
ys mriamrh
4
( )
3
i fõ
4
( )
3
a
ii
y
fõ
4
( )
3
y
iii
a
fõ
3
( )
4
iv fõ
^7& isg ^10& f;la .eg¨ iq¿ lrkak'
^7&
1 1
2a a
^8&
3 5
y y
^9&
5
2 10
x x
^10&
16 4
9 15
a ab
29. 20.Ks;h myiqfjka - 3 ùc .Ks;h
4'1 ùÔh Nd.
yrfha fyda ,jfha fyda yrh ,jh foflysu fyda
ùÔh mo fyda úÔh m%ldYk iys; Nd. ùÔh Nd. fõ'
wNHdih 4'1
1' rjqu ;=<ska ùÔh Nd. f;dard fldgqj ;=< ,shkak'
Nd.j,g fuka u ùÔh Nd.j,g o ;=,H Nd. ,súh yels h'
2 2
2 3 2 4 6 4
, .....
3 6 9 2 3 8 2
x x x p p
x x x q q
1 2 3
3 6 9
2' 1 jk fldgqfõ we;s ùÔh Nd.h i|yd .e,fmk ;=,H Nd.hla 2jk fldgqfjka
fidhd hd lrkak'
5
a
a
x
3
a
1
2
1
7 1
1
1x
5
3
x
1
1
x
x
5
8
a b
a
1 2
2
3
2
5
1
2
2
3
a
a
y
a
x
6
15
5
10
2
4
2
6
6
9
y
a
a
a
x
30. 21.Ks;h myiqfjka - 3 ùc .Ks;h
5 5
a a
5
2
5
a a
a
wNHdih 4'2
mshjr iïmq¾K lsÍu i|yd fldgq ;=<g .e,fmk ixLHdj ,shkak'
1'
2
5 5
x x
2'
6
7 7
p p
2
5
5
x
6
7
p
3'
3 2
8 8
x x
4'
2
4 4
p p
2x
5'
2 3
a a
3
6
a
^2 iy 3 ys l='fmd'.= ie,lSfuka&
4'2 ixLHd;aul yr iys; ùÔh Nd.
Nd. tl;= lsÍfï § wvq lsÍfï § fuka u ùÔh Nd. tl;= lsÍfï § yd
wvq lsÍfï § o tu Nd.j, yrh iudk lr.; hq;= h'
5 10
x x
2
10
3
10
x x
x
2 3
b b
3 2
6
5
6
b b
b
2
6 9
y y
3 4
18
7
18
y y
y
31. 22.Ks;h myiqfjka - 3 ùc .Ks;h
6'
2
3 6
p p
4
6
p
7'
2
3 4
a a
8
11
a
a
8'
2
3 4
x x
9'
2
6 9
x x
3
12
x
3
18
x
10'
2
4 5
x x
11'
5
9 4
p p
4
6
x
x
20 p
12'
1 2 3
5 5
a a
13'
1 3
3 6
x x
1
5
5
a
2 1
6
2
6 6
x
^3 yd 6 ys l=' fmd' .= ie,lSfuka&
^3 yd 4 ys l=' fmd' .= ie,lSfuka&
32. 23.Ks;h myiqfjka - 3 ùc .Ks;h
4'3 yrfha ùÔh mo iys; ùÔh Nd. tl;= lsÍu iy wvq lsÍu
5 2x
x x
2 5
3x xy
5 2
7
1 1
2
2 1
2
1
x
x
x x
x
x
wNHdih 4'3
^1& my; oelafjk ùÔh Nd. iq¿ lrkak'
2 3 5
3
2 15
3
y
xy
y
xy
^ x yd 2x ys l=' fmd' .= 2x &
^3x yd xy ys l=' fmd' .= 3xy &
2
2 5
( )
3 2
( )
5 1
( )
4 2
( )
3
3 1
( )
2
3 2
( )
2 3
4 2
( )
5
i
a a
ii
p p
iii
x x
iv
a a
v
p p
vi
p p
vii
xy x
4 1
( )
5 2
viii
x x
2
2
2 1
( )
3 4
5 1
( )
12 5
2 1
( )
2
ix
x x
x
xy x
x
xi
yz y
33. 24.Ks;h myiqfjka - 3 ùc .Ks;h
4'4 ùÔh Nd. .=K lsÍu
ùÔh Nd. folla .=K lsÍfuka ,efnk .=Ks;h" tu Nd.hka ys ,jhka ys .=Ks;h ,jh
jYfhka o yrhka ys .=Ks;h yrh jYfhka o we;s Nd.hg iu fõ'
a c a c ac
b d b d bd
ùÔh Nd.hla mQ¾K ixLHdjlska .=K lsÍfï §" Nd. .=K lsÍfï § fuka u ,jh mQ¾K
ixLHdfjka .=K lrkq ,efí'
3
3
a a
b b
fõ'
2 2
2
2
14
a y
y a
3
3
a a
b b
fõ'
4 9
3 2
a
a
2 3
1
1
4 9
3 2
2 3
6
1
a
a
wNHdih 4'4
^1& A fldgfia we;s Nd.j, .=Ks;h B fldgfia we;' tajd .e,fmk mßÈ hd lrkak'
A B
2
1 1
2 1
5 3
1
2 1
7 2
1
3
2
2
5 4
2
x y
a
b x
x
x
x
y
p q
q p
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1
3
1
7
1
2
15
10
x
y
xy
a
bx
p
^fmdÿ idOlj,ska fn§fuka&
2 1 2
2 1
7
2
14
1
7
7 1
a y
y a
a
34. 25.Ks;h myiqfjka - 3 ùc .Ks;h
^2& my; a, b, c yd d .eg¨ ms<sn| j § we;s m%ldYh i|yd ksjerÈ W;a;rh háka
brla w¢kak'
1 3 3 1 1
( ) ( ) ( ) ( )
3 7 3 7 14 2 14
x a y
a b c d
x y
by; a, b, c yd d .=Ks; w;=frka W;a;rh f,i
1
7
,efnkafka"
(i) c g muKs' (ii) a g iy d g muKs' (iii) a g iy b g muKs'
(iv) a g iy d g muKs'
^3& my; § we;s ùÔh Nd.j, .=Ks;h ,sùu i|yd ysia;eka iïmq¾K lrkak'
^yrh yd ,jh fmdÿ idOlj,ska fnokak'&
2 2
2
( )
4
b
i
a b
2 2
2
4
b
a b
2
3
( )
4 3
p pq
ii
q
2
3
4 3
p pq
q
^yrh yd ,jh fmdÿ idOlj,ska fnokak'&
35. 26.Ks;h myiqfjka - 3 ùc .Ks;h
2 2
2
3
( )
27
a b
iii
b a
2 2
2
3
27
a b
b a
^4& my; oelafjk Nd. iq¿ lrkak'
4'5 ùÔh Nd.hl mriamrh
ùÔh Nd.hl yrh iy ,jh udre lsÍfuka ,efnk ùÔh Nd.h uq,a ùÔh
Nd.fhys mriamrh f,i y÷kajhs'
a
b
ys mriamrh
b
a
fõ'
wNJdih 4'5
1' .e,fmk mßÈ ùÔh Nd.h yd tys mriamrh hd lrkak'
ùÔh Nd.h mriamrh
^yrh yd ,jh fmdÿ idOlj,ska fnokak'&
2
2
2
( )
3 2
4 9
( )
3 2
( )
6 4
4 15
( )
3 8
39
( )
13
z z
ii
z
v
z
y y
viii
y
xi
y
pq
xiv
p q
2
11 18
( )
9 5
2 10
5 3
5
( )
5 10
6
( )
4
10 14
7 5
i
c
iv
c
x x
vii
r
x
r
a
xiii
ab
2
2 2
6
( )
4 5
9
3
7 2
( )
14
3
( )
4 6
6
5 9
a b
iii
p
vi
p
y
ix
y
a y
xii
y a
bc b
xv
c
1
3
6
5
2
3
y
a
b
x
y
x
y
3
2
5
6
3
y
x
y
x
b
a
y
36. 27.Ks;h myiqfjka - 3 ùc .Ks;h
2' ysia;eka iïmq¾K lrkak'
2
( )
p
a
q
ys mriamrh ''''''''''''''''''''''' fõ'
( )b
ys mriamrh 2
3
y
x
fõ'
2
1
( )c
x
ys mriamrh ''''''''''''''''''''''' fõ'
2
( )
25
a
d
b
ys mriamrh '''''''''''''''''''' fõ'
( ) ................e yss mriamrh 2
2
3
a
x
fõ'
4'6 ùÔh Nd. fn§u'
ùÔh Nd. fn§fï § fnÈh hq;= Nd.h ^NdcHh& Ndclfha mriamrfhka .=K
lrkq ,efí'
3
2
x
2 5
x x
1
1
1
2 3
6
2
2
2
x
x
x
x
x
x
^
2
x
ys mriamrfhka .=K lsÍu&
1
1
2
2
5
2
5
2
3 9
5 10
3 10
5 9
2 2
1 3 3
x
x
p p
q q
p q
q p
p p
^
5
x
ys mriamrfhka
.=K lsÍu iy fmdÿ
idOlj,ska fn§u&
^3 ys mriamrfhka .=K lsÍu&
^
9
10
p
q
ys mriamrfhka
.=K lsÍu iy fmdÿ
idOlj,ska fn§u&
37. 28.Ks;h myiqfjka - 3 ùc .Ks;h
wNHdih 4'6
^1& my; oelafjk ùÔh Nd. fn§fï mshjr iïmq¾K lsÍu i|yd fldgq ;=<g
.e,fmk mo ,shkak'
1 1
( )
1
1
i
x y
x
5 3
( )ii
x x
x
^2& my; oelafjk Nd. iq¿ lrkak'
2
2
2 4
( )
2
x x
iii
a a
x a
a
5 1
( )
6 3
6
( )
5 3
16 4
( )
9 15
3 6
( )
2
x
i
y
iv
y
a ab
vii
ix
y
2
2
2
( )
3 6
( )
2 4
3 6
( )
4
3 9
( )
2 4
y y
ii
z z
v
x x
viii
y y
x y
x
7 2
( )
9 3
4 8
( )
3 9
a a
iii
c y
vi
38. 29.Ks;h myiqfjka - 3 ùc .Ks;h
5'0 ir, iólrK
fmr mÍlaIKh 5
1' tla tla m%ldYkhg .e<fmk iólrKh hd lrkak'
(i) x foflka fn¥ úg 5 ,efí' 5 5
2
x
(ii) x foflka .=K lr 5 la tl;= l< úg 1 ,efí' 5
2
x
(iii) x foflka fnod 5 la tl;= l< úg 5 ,efí' 2 5 1x
2'
3
2 4
5
x
iólrKfha x ys w.h fidhkak'
3' n ixLHdj 7 ka .=Klr thg 6la tl;= l< úg ,efnk w.h 41 fõ'
(i) by; iïnkaO;dj iólrKhlska olajkak'
(ii) iólrKh úi`§fuka n ixLHdj fidhkak'
4' 3 1 3p p iólrKfha p ys w.h fidhkak'
5'
1
3 4 0
2
x
iólrKh úi`okak'
39. 30.Ks;h myiqfjka - 3 ùc .Ks;h
f;dr;=re wkqj iólrK f.dvkÕd úi|uq'
fgd*s 10la kx.sg ÿka úg u,af,a fgd*s 40la b;sß
fjhs'
10 40
10 10 40 10
50
p
p
p
u,af,a fgd*s 50la uq,ska u ;snqKs'
jÜáhg ;j u,a 6 la oeuqjfyd;a jÜáfha u,a
.Kk 25ls'
6 25
6 6 25 6
19
x
x
x
uq,ska jÜáfha ;snqfKa u,a 19 ls'
7
3
3
y
y
3 7 3
21y
fmÜáfha ;snqKq ìialÜ .Kk 21 ls'
fujeks lÜg, 10 l we;s fmd;a .Kk 120 ls'
10 120
10
a
a
10
12 0
10
12a
lÜg,hl fmd;a 12la ;sî we;'
fgd*s
we;P
jÜáfha u,a we;x
hd`Mfjda
;=ka fokdg
iuj fn¥ úg
tla wfhl=g
ìialÜ 7 la
,efí.
lÜg,fha
fmd;a ;sfía .
40. 31.Ks;h myiqfjka - 3 ùc .Ks;h
wNHdih 5
^1& my ; t l at l ai ól r K f hay i|yd .e<fmk W;a;rhg hd lrkak'
^1& 5 15y 16
^2& 2 18y 12
^3& 2 17y 20
^4& 4 16y 10
^5& 25 7 12y 19
^2& my; tla tla iólrKfha x i|yd .e<fmk W;a;rhg hd lrkak'
^1& 2 12x 4
^2& 3 5 17x 15
^3& 3
4
x
3
^4& 2 7
3
x
6
^5&
5
3 8
3
x
12
^3& iólrKfha B<Õ mshjr iïmQ¾K lsÍu i|yd fldgq ;=<g .e<fmk ixLHd ,shkak'
1' 1
5
1
5
5
p
p
p
2' 12 20
12 20
32
x
x
x
3' 5 50
5 50
x
x
x
4' 2 4 11
2 4 11
2
2
y
y
y
2
y
2
1
3
2
y
43. 34.Ks;h myiqfjka - 3 ùc .Ks;h
fomi u w{d; mo we;s úg iólrK úi|uq
^8& ysia;eka iïmQ¾K lrkak'
(i) 3 4 5
3 3 4 5
4 2
4 2
2
2
a a
a a a
a
a
a
a
(ii) 4 3 10
4 3 10
3 6
3
1
2
1
2
y y
y y
y
y
y
(iii) 4 6 7
6 7
6
6
2
2
x x
x
x
x
^fomiska u 3a bj;a lsÍu&
^fomiska u 4y bj;a lsÍu&
^fomiska u 4x bj;a lsÍu&
44. 35.Ks;h myiqfjka - 3 ùc .Ks;h
(iv) 5 16 4 2
5 16 4 2
9 16 2+
18
18
y y
y y
y
y
(v) 2 1 2
2 2
2 2
2
a a
a a
a a
^9& ;rdosfha fomi ;=,kh lrñka Ok w{d; yd hkq úYd,;ajfhka iudk RK
w{d; f,i f.k my; oelafjk iólrK úi|kak'
^ hkq + u.ska ,efnk w.h fõ'&
1' -2 4
2 2 4
2 2 2 4 2
2 6
2 2
3
x
x
x
x
2' 2 -10
3' 1 11
^fomig u 4y tl;= lsÍu&
^fomig 16la tl;= lsÍu&
^jryka bj;a lsÍu&
^fomiska u a bj;a lsÍfuka&
^fomiska u 2la wvq lsÍu&
61. 52.Ks;h myiqfjka - 3 ùc .Ks;h
wNHdih 8
^1&
by; LKavdxl ;,fha ,l=Kq lr we;s ,laIH i,ld ksjeros W;a;rh háka brla w|skak'
(i) B ,laIHfha LKavdxl jkafka ^3"1& $ ^1" 3&
(ii) ^-3" 2& ,laIHh jkafka (D / C)
y
x0 1 2 3 4 5
5
4
3
2
1
-1
-2
-3
-4
-5
A (3, 4)
B
C D
E
62. 53.Ks;h myiqfjka - 3 ùc .Ks;h
(iii) E ,laIHfha LKavdxlh jkafka ^-2" -4& $^2" 4&
^2& my; oelafjk LKavdxl ;,fha ,l=Kq lr we;s ,laIH weiqfrka wid we;s m%Yakj,g
ms<s;=re" oS we;s W;a;r w;ßka f;darkak'
1' P ,laIHfha y LKavdxl jkafka"
(i) 4 h (ii) ^0" 4& h (iii) ^4"0& h (iv) 0 h
2' F ,laIHfha LKavdxl jkafka"
(i) ^6" 3& h (ii) ^6" -3& h (iii) ^-6" -3& h (iv) ^-3" 6& h
3' M ,laIHfha LKavdxl jkafka"
(i) ^3" 0& h (ii) ^0" -3& h (iii) ^0" 3& h (iv) ^-3" 0& h
4' R ,laIHfha x LKavdxl jkafka"
(i) 2 h (ii) -6 h (iii) ^2" -6& h (iv) ^-6" 2& h
5' Q ,laIHfha LKavdxl jkafka"
(i) ^2" 0& h (ii) ^-2" 0& h (iii) ^0" 2& h (iv) ^0" -2& h
6' E ,laIHfha x LKavdxl jkafka"
(i) -4 h (ii) -2 h (iii) 2 h (iv) 4 h
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
5 -
4 -
3 -
2 -
1 -
-1 -
-2 -
-3 -
-4 -
-5 -
P
E
FM
N
O
R
Q
71. 62.Ks;h myiqfjka - 3 ùc .Ks;h
3 3
2 3 3 4 12
1
3
2
3
3
3
y x y x
y x x y
y x
x
y
x y
2 1y x g iudka;r j yd 0,3 ,laIHh yryd hk f¾Ldj
m%ia;drh iy iólrKh .e<mSu i|yd
m%ia;drh iólrKh fhdod.;a Wmdh ud¾. fudkjd o @
b`.s fudkjd o @
A
B
C
D
E
F
G
H
I
^8& (i) oS we;s tla tla x w.hg wkqj j.=fõ b;sß ysia;eka iïmQ¾K lrkak'
3 2 1 0 1 2 3 4
2 .... 4 .... 0 .... .... 6 ....
x
x
(ii) 2y x kï by; iïmQ¾K lrk ,o j.=jg wkqj x w.h 2 jk úg y w.h
lSh o @
111. 102.Ks;h myiqfjka - 3 ùc .Ks;h
W;a;r
1'0 ùÔh ixfla; yd ùÔh m%ldYk
fmr mÍlaIKh 1
^1& 5x ^2& 4 m n ^3& 5 15x ^4& 2 3x ^5& 2
2p p ^6& ( ) 3 2i x
( ) 4 2 1ii x ( ) 3 2iii x x
wNHdih 1
^1& (i) x (ii) y (iii) a (iv) b
(v) m (vi) p (vii) k (viii) q
^ùÔh ixfla; i|yd bx.%Sis fydäfha ´kE u isïm,a wl=rla fhoSu ksjeros h'&
^2& ^1& (iii) wjqreÿ 5n ^2& (iv) 10x ^3& (iii) 5m
^4& (ii) 4 x ^5& (iv)
3
u
^3&
2 , 11 ,
5 , 15 ,
x x
x x
x
4 , 3 ,
6
y y
y
10, 8
3
14
^4& (i) 3 +2 8m m m
+3 11
4 +7 4
10 +2 5
5 +3 12
m m m
m m m
m m m
m m m
(ii) 3 - 10m m x
5m m m
x x m
m m m
x x x
-2 5
12 - 2
20 -15 3
20 -10 11
^5& (i) 10 (ii) 2x (iii) 3m (iv) 10m
(v) 40x (vi) 30x (vii) x2
(viii) 2x2
(ix) 15a2
(x) 14m2
^6&
+
4
10
2
5
x
x
x
2
4+2
10+2
+2
2 +2
5 +2
x
x
x
3
4+3
10+3
+3
2 +3
5 +3
x
x
x
7
4+7
10+7
+7
2 +7
5 +7
x
x
x
10
4+10
10+10
+10
2 +10
5 +10
x
x
x
15
4+15
10+15
+15
2 +15
5 +15
x
x
x
112. 103.Ks;h myiqfjka - 3 ùc .Ks;h
^7& x
5
2
3
x
m
m
a
2
10
2
2
4
6
x
m
m
a
4
20
4
4
8
12
x
m
m
a
10
50
10
10
20
30
x
m
m
a
-3
-15
-3
3
-6
-9
-
x
m
m
a
n
5
2
3
m
m
a
n
nx
n
n
n
^8& (i) 6x (ii) 9n (iii) 9a (iv) 9y
^9& (i) 5y (ii) 6 14x y (iii) 3n (iv) 6 2a c
^10& 1(i ) x 2 1(ii) y 2 1(iii ) a 1(iv ) -b
^11& (i) 5x x
10
15
20
25 30
(ii) 10n n
20
30 20
40 30
50 40
(iii)
3mm
5
6
8 24
10 30
(iv)
10
x
x
20
30 3
50 5
70 7
(v)
5
x
x
20
30 6
40 8
60 12
^12& (i) 4x (ii) 5x (iii)
2
m
(iv) 5t
^13& (i) 2 10 , 2 6, 2 10n m n (ii) 5 20 , 5 50 , 5 20, 5 50p x p x
^14& ^1& (i) 4 28x (ii) 5 35x (iii) 10 40m (iv) 12 60u
^2& (i) 20 2x (ii) 15 3x (iii) 4 32x (iv) 10 30x
^15& (a)
x
2
5x......
(b)
m
2
7m......
5m 35......
......
113. 104.Ks;h myiqfjka - 3 ùc .Ks;h
^16& (i)
n2
4n......
3n 12............
(ii) 3n (iii) 4 3n n (iv) 2
4 3 12n n n
^17& (i)
2
2
10 5 50
15 50
c c c
c c
(ii)
2
2
5 2 5
5 2 10
7 10
x x x
x x x
x x
(iii)
2
2
5 10 5
5 10 50
5 50
x x x
x x x
x x
(iv)
2
2
10 7 10
10 7 70
3 70
x x x
x x x
x x
(v)
2
2
5 4 5
5 4 20
9 20
x x x
x x x
x x
2'0 ùÔh m%ldYk iy idOl
fmr mÍlaIKh 2
^1& ( ) 2 2i x ( ) 3ii y y ( ) 5 1iii p ^2&
3
3
p q r q r
q r p
^3& a b a b ^4&
2
2 2
1 2 1
1 2
x x x
x x x
x x
^5&
2
6 3 2 1
3 2 1 1 2 1
2 1 3 1
x x x
x x x
x x
^6& 9 4 9 4
5 13
65
wNHdih 2
^1& (i)
√
(ii) (iii) (iv)
√
(v)
√
(vi) (vii)
√
(viii)
√
^2& (i) 2
25 1a (ii) 15n n (iii) 5 4 3m (iv) 2 1u u
(v) 3 1a a (vi) 6 2p p (vii) 2
13 1c (viii) 2
25 2t
(ix) 2
10 3 2x (x) 2 1a a (xi) 7 2x x
^3& (i) 1a (ii) 3x (iii) 5 u (iv) ke;
(v) 12t (vi) 6x
^4& (i)
m x y n x y
x y m n
(ii)
3
3
m n a m n
m n a
(iii)
4 15 4
4 15
n n n
n n
(iv)
10 7 10
10 7
x x x
x x
(v)
7 8 7
7 8
x x x
x x
114. 105.Ks;h myiqfjka - 3 ùc .Ks;h
j¾. foll wka;rh
^5& ^1& a b a b ^2& x y x y ^3& m n m n
^4& p q p q ^5& c d c d ^6& 8 3 8 3
^6& (i) 91 (ii) 4 8
32
(iii) 15 10 15 10
= 5 25
125
(iv) 12 7 12 7
5 19
95
(v) 9 4 9 4
5 13
65
^7& ^1&
3 3
3 3
a b a b
a b a b
^2& 2 10 2 10a a
^3&
22
7
7 7
7 7
x y
x y x y
x y x y
^4&
2 2 2 2
2 2 2 2
4
a a b a a b
a a b a a b
b a b
^5&
2 2 2 2
5 3
5 3 5 3
x y
x y x y
^8& ^1& 4 6x x ^2& 10 10x x ^3& 4x x
^4& 12 2x x ^5& 12 11x x ^6& 4 2x x
^7& 6 1x x ^8& 11 9x x ^9& 11 7x x
^10& 3 2x x ^11& 5x x ^12& 11 1x x
^13& 12 5x x ^14& 10 2x x ^15& 7 8x x
^9& ^1& 4 2 3 2x x ^2& 2 3 5x x ^3&
2 2 3 2 1
2 2 3 2 1
x x
x x
fyda
^4& 3 2 3 1x x ^5& 2 1 3 1x x ^6& 2 15 1x x
^7& 2 5 1x x ^8& 5 1 6 1x x ^9& 2 3 5 3x x
^10& 1 4 1x x
115. 106.Ks;h myiqfjka - 3 ùc .Ks;h
3'0 ùÔh m%ldYkj, l=vdu fmdÿ .=Kdlrh
fmr mÍlaIKh 3
1. 2. 3. 4. 5.iii ii ii iv iii
wNHdih 1
1'
2'
3' 24 35 30 182 2 2 2 2
i p ii x y iii a b iv x y
4' 2
8 24 10 242 2 2 2 2 2 2
i a b ii a b iii a b iv p q v k
2 2
2 2
2
3 ,
,
2 ,3
2 ,6 ,5
3 ,4
5 ,10
7 ,21
b c
xy yz
x y
a ab a
x y y
a b a
bc b
2 2
2
2 2
6
12
21
30
10
3
xy
x y
bc
xyz
ab
a b
bc
ùÔh mo l=vdu fmdÿ .=Kdldrh
2 2
( ) 3 ,2 , 6i a b ab ab
( ) 3 ,4 ,5 60ii xy y x xy
2 2 2 2
( ) 6 ,5 , 30iii a b ab ab a b
2 2 2 2 2 2
( ) 5 ,8 ,4 40iv p q r p q r
( ) 6,3 ,8 24v x b bx
116. 107.Ks;h myiqfjka - 3 ùc .Ks;h
4'0 ùÔh Nd.
fmr mÍlaIKh 4
1' (ii), (iii),(v), (vi) 2' yrh x jq ´kEu Nd.hla iy ,jh y jq
´kEu Nd.hla fyda
y
x
3' (iii) 4' (ii) 5' (i) 6' (iii) 7'
3
2a
8'
2
15
y
9'
2
4
x
10'
20
3b
wNHdih 4'1
1' 2'
wNHdih 4'2
2
5
3
5
x x
x
6
7
7
7
p p
p
3 2
8
5
8
x x
x
4
2
4
p
p p
3 2
6
5
6
a a
a
4
6
5
6
p p
p
8 3
12
11
12
a a
a
8 3
12
5
12
x x
x
5
a
a
x
3
a
1
1x
5
3
x
1
1
x
x
a b
a
1' 2' 3' 4'
5' 6' 7' 8'
2
3
2
5
1
2
2
3
a
a
y
a
x
6
15
5
10
2
4
2
6
6
9
y
a
a
a
x
117. 108.Ks;h myiqfjka - 3 ùc .Ks;h
9' 10' 11'
12' 13'
3 4
18
7
18
x x
x
10 4
20
14
20
x x
x
20 9
36
11
36
p p
p
1 2 3
5
3 4
5
a a
a
2 1 3
6
2 2 3 3 5
6 6
x x
x x x
wNHdih 4'3
2
7 5 4 10 1 9 4 4 10
( ) ( ) ( ) ( ) ( ) ( ) ( )
3 2 6 5
p y
i ii iii iv v vi vii
a p x a p p xy
3
( )
10
viii
x
2
2 2
8 3 25 12 4
( ) ( ) ( )
12 60 2
x y x z
ix x xi
x xy yz
wNHdih 4'4
1' A B 2' (iv)
3' 2 2
2
( )
4
b
i
a b
2
3
( )
4 3
p pq
ii
q
1
2 2
2 1
2
4
b
a b
21
1
1 1
3
4 3
pqp
q
2
2
1 1
2
1
2
a b
a b
2
4 1
4
p pq
p q
1 21 2
1
2
9 1
3
27
ba
iii
b a
1 1
9 1 9
a
2
1 1
2 1
5 3
1
2 1
7 2
1
3
2
2
5 4
2
x y
a
b x
x
x
x
y
p q
q p
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
1
3
1
7
1
2
15
10
x
y
xy
a
bx
p