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STRNIGHT JNE Paaboka ihpt-
PowtTStchon4ornatla:
CIRCLE PARABOLA | ELLIPSE
.
m- 'mtn
-LA dn,*J1t m
71veU 4muudamd thord 2 a
HPPE R BOLA CommonPoints:-
TO ed 7g
Normalat P&),a(ta)
tm 9..
Eules line > -
Diamud or /07m
Cr-kul 1nu) +19-9)9- T dw Rechun 4a
Xnt: Nguint2jsc
L+m*n
i . wugh (-2a,o)
a waypassthough 2a, 0)
Slope ot ou
unthotd 1,11
the ctt:(Sin2A,Sin28,
A%Tnudr, tx(a
Homo nuG
congugoeHa
(DiET P/voda major
R= 26 (o'Hxis
LT
CommonTuud
onuutNMy" th1ta
Awama polnts-
oahot [tanA,tan8
##T=SChord withgirtn
+TSid-polnt
Tatedrt :-(,b, c) A
amtamatlon
ruly :
4ax (Xy,a,m
-4aX (9 4,M
4
P S t P a SSEPair Tamgut
Paramiriform:
= a t y52at
A
By A4iyan
AP-MJ H- Tomgttd tHmit
St line
sin as=P
aandt bsind 6ocal thovd
91r4
Xon a 2-
I , b, ml
H-2 O on fotal raditao
1=asec, y=6tuny
tal
(4,3, -b,Vm]
nacOs , J=bsing
n awS6, =bsind
ta o, K+6sBna)
Dircctor udrd!-
A L =
2R2=(2)
D r c d r i Only
-- Auxilavy
H3/ Any T to
Paykbaln.4 *on IEmuton Tafvedx.
ineL 4 L,
roifron /u Dy Sustend9o'a fous
thgh P
To ind M H forton
y =a-b
nt áxtby = H-5 TAN axe Ang-bisedor t7 pcal1allt A Pm (ond
N-9 Reyrclsn pop S1-ohoCue Ady 3 Tau ApPlydr
weon druHA
Tomye
h1mk
M m t H t n
IFmtuna
J I 2 a ( X + X )
1
DIstomte b¢oint froM lin
Hr dlanfor |
C
ax242hy1by
*=mxt/a*n*4
= mn la?m-62
hit m eguay inuned
wih my& M2
|M-m 2
L
EWpi P-0 1Hm
C #m4
ELupehilig
DambenF
Wan4
n d P o c /
ta #6
ya'n Va*m*-6*/
Dis tance 6/a l Wnes
-)
xfaraman ta
+mm ImM2
o norm
a p o i n s - K 4 6
YtJ=
odc2
Conoyur
Pojis
' - Ktp+
y+S =
-A
X
H S N S M = b
o n of foot4 m 7fum
P tawnUHC
n seca am-1
ParamiEL
Ar.H y
formud|Ci2)L4-|1
Conuxtm o NA
Same Poz
M-M2
=
abc t/gh
- a t - c h
4 8 5 n 8 =
(ath at)
z aist.o a Bne om npoilis=o,, y Brsecto
o auUayO ncoo t95in=a
Po-(ao/9,102),6sin/4102}
H3Sau a parabMa
H-4
Norma
H * m /
4ymends¢ fpledard
AS
GrlL hoviy fe cal
racdus as
umeTer
aluwaystoucha
uu ddary O int o n a
ly
Norma
a-46 a45
Nomaliniiregh)
Culrt_
Novlie
- )
2
a
- ( 1 i ° Make G2-#L
Family d
S tAS 0,
JtaLs°)
2m- om-am
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Xm-
obt A8 ) R4.1
LE
a
ectand
axi, yotation
s o) ax
h-2 Coc auy 20inton
divedde-faral hord
ttn= at tQt
D i a n e t e r .
( a l t t + t +2)
=mdt (1*67
atita lttt
pewboda fMIGKUJAG- e4 C Va+6M
V a - m 2 6
Both E/
tind cuudot of tornic
H3PtH-M)
H=U7kN Liss L ó/w s,P4-s2P lt ayp.
Pano St-linc hamogcneoutseg"|dx2f2hytby*=o
ea'elne
T n e s > a t b = ° (
Mtm2= m - H- EipekRypboia d t l jorhogonal)
II torles=hab
Orhogona
cAordy rabola.
{ a*61=Q2-bt) AbD
H-4Sytotes y - o J=*2n
a
*Redangulan pbsa
0 6 2h2J7 qualynctineduihHon
ab
-I,ton() '-a e yP
2
H 4 CH
JanL 01y 2tt
p u n hyogh " y o a
Aatcad
Hxis = S,-s2=0
A Kacbcal r e
cdreltwith
to
X-axis
He
i
= 1 at n e c ? i e o e t PLetstle
u Asgrpoda
=
29=>e = N L 9 /
a q
d6/w
AMuM4 tynato
= ab
r-0/
0n d Taguu
dutJid, CoC
ngouu Polan " ,romnuno
Angu SaMt
/'s L'dst tut2
t * :
clt,tt)
Tan2
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xiS
a2 2
ieOd o)fhp2onal

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Coordinate geometry.pdf

  • 1. STRNIGHT JNE Paaboka ihpt- PowtTStchon4ornatla: CIRCLE PARABOLA | ELLIPSE . m- 'mtn -LA dn,*J1t m 71veU 4muudamd thord 2 a HPPE R BOLA CommonPoints:- TO ed 7g Normalat P&),a(ta) tm 9.. Eules line > - Diamud or /07m Cr-kul 1nu) +19-9)9- T dw Rechun 4a Xnt: Nguint2jsc L+m*n i . wugh (-2a,o) a waypassthough 2a, 0) Slope ot ou unthotd 1,11 the ctt:(Sin2A,Sin28, A%Tnudr, tx(a Homo nuG congugoeHa (DiET P/voda major R= 26 (o'Hxis LT CommonTuud onuutNMy" th1ta Awama polnts- oahot [tanA,tan8 ##T=SChord withgirtn +TSid-polnt Tatedrt :-(,b, c) A amtamatlon ruly : 4ax (Xy,a,m -4aX (9 4,M 4 P S t P a SSEPair Tamgut Paramiriform: = a t y52at A By A4iyan AP-MJ H- Tomgttd tHmit St line sin as=P aandt bsind 6ocal thovd 91r4 Xon a 2- I , b, ml H-2 O on fotal raditao 1=asec, y=6tuny tal (4,3, -b,Vm] nacOs , J=bsing n awS6, =bsind ta o, K+6sBna) Dircctor udrd!- A L = 2R2=(2) D r c d r i Only -- Auxilavy H3/ Any T to Paykbaln.4 *on IEmuton Tafvedx. ineL 4 L, roifron /u Dy Sustend9o'a fous thgh P To ind M H forton y =a-b nt áxtby = H-5 TAN axe Ang-bisedor t7 pcal1allt A Pm (ond N-9 Reyrclsn pop S1-ohoCue Ady 3 Tau ApPlydr weon druHA Tomye h1mk M m t H t n IFmtuna J I 2 a ( X + X ) 1 DIstomte b¢oint froM lin Hr dlanfor | C ax242hy1by *=mxt/a*n*4 = mn la?m-62 hit m eguay inuned wih my& M2 |M-m 2 L EWpi P-0 1Hm C #m4 ELupehilig DambenF Wan4 n d P o c / ta #6 ya'n Va*m*-6*/ Dis tance 6/a l Wnes -) xfaraman ta +mm ImM2 o norm a p o i n s - K 4 6 YtJ= odc2 Conoyur Pojis ' - Ktp+ y+S = -A X H S N S M = b o n of foot4 m 7fum P tawnUHC n seca am-1 ParamiEL Ar.H y formud|Ci2)L4-|1 Conuxtm o NA Same Poz M-M2 = abc t/gh - a t - c h 4 8 5 n 8 = (ath at) z aist.o a Bne om npoilis=o,, y Brsecto o auUayO ncoo t95in=a Po-(ao/9,102),6sin/4102} H3Sau a parabMa H-4 Norma H * m / 4ymends¢ fpledard AS GrlL hoviy fe cal racdus as umeTer aluwaystoucha uu ddary O int o n a ly Norma a-46 a45 Nomaliniiregh) Culrt_ Novlie - ) 2 a - ( 1 i ° Make G2-#L Family d S tAS 0, JtaLs°) 2m- om-am Tin Xm- obt A8 ) R4.1 LE a ectand axi, yotation s o) ax h-2 Coc auy 20inton divedde-faral hord ttn= at tQt D i a n e t e r . ( a l t t + t +2) =mdt (1*67 atita lttt pewboda fMIGKUJAG- e4 C Va+6M V a - m 2 6 Both E/ tind cuudot of tornic H3PtH-M) H=U7kN Liss L ó/w s,P4-s2P lt ayp. Pano St-linc hamogcneoutseg"|dx2f2hytby*=o ea'elne T n e s > a t b = ° ( Mtm2= m - H- EipekRypboia d t l jorhogonal) II torles=hab Orhogona cAordy rabola. { a*61=Q2-bt) AbD H-4Sytotes y - o J=*2n a *Redangulan pbsa 0 6 2h2J7 qualynctineduihHon ab -I,ton() '-a e yP 2 H 4 CH JanL 01y 2tt p u n hyogh " y o a Aatcad Hxis = S,-s2=0 A Kacbcal r e cdreltwith to X-axis He i = 1 at n e c ? i e o e t PLetstle u Asgrpoda = 29=>e = N L 9 / a q d6/w AMuM4 tynato = ab r-0/ 0n d Taguu dutJid, CoC ngouu Polan " ,romnuno Angu SaMt /'s L'dst tut2 t * : clt,tt) Tan2 2y tn = 20t , MT xiS a2 2 ieOd o)fhp2onal