Summary

Summary Cheatsheet - Straight Lines (Maths)

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Course
JEE

Institution
JEE

A hand written concise cheatsheet perfect for 2 minute revision of the complete Straight Lines chapter. Includes content on bisectors, line equations, family of lines, types, angle and area between lines, reflection of lines and much more.

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Uploaded on March 2, 2023
Number of pages 2
Written in 2021/2022
Type Summary

straight lines
maths
mathematics
college
jee
cheatsheet
family of lines
angle bisectors
angle between lines
line equation

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STRAI GHT LINES
SECTION FORMULAE n mgrmalwm 92 by
b} sa a
f m Y4n i , m4 my, mumad
luulyon
m m
m, E CUm
ngLE B/w 2L/NES
Ym-r m -h d Dg
Md-þeumt-(1, ,¥ ) tom , m
CENTROD OF A A Fo _puwalll wns
Ty,
3 Yt9tY) 0 -0 = 1 M, TD2
1NCENTRE OFD 4 , Mz
E
faxt ba, +2 a+ byt y)
Ab +c
atb+c
.For 2 pvrhirdiulan uns
6 T T m,m = -
ExCENTRES =/a,+bx, +0X, -ayt byat y)& so dn
-atbtl -abtc FAMILY OF LINES
1AREA PA RALLEL LINES y:mz 4(>por om
Tyiomgl houmg wvs z,, )(x,y.) 3 y,) efERPENDI (ULAR S ax+ bytC =o
t bz ay + =0
2 (2.73t3, Yg +3,)- (,3, +1.%*)].co NCU RRENT Y= xtc
LINE PAsSIvh THRoVGu ZNTERSECTIOM CF
Ty imgsmud y (=m, 4,y,= m,a4) ,*mx+ (,)L, ANO 7 4t /*0

Triomu omud y 474 by+l <0 L s . 2 (abl
Rh pmu wmd uy ax*bytc =b 2 Juu.
Parallelegtom ly A1n4 byy re,&,) =o LENn7h AN DD FOU7 0F L THR0
UGH
4by + (4,e d)=0 LENTM 14, 2t b t (,9)
C dda a +
a,b2- b , FoUT = -

( ax +by tc)
RUATI ONS OF STRAIGGHT UNES a+b2
umpial eguaton
Le- mivpt sm =7 y mAtC

REFLECTIONAND DI5 TA NCE
b
Distomau utuun Juuohoys Jz,-7,)+9-
fmbloh tprm )m 2-X, Diasonnu Juluun C-2)
un point wm ) (x- 7 ) :( - ) (4 - y1) PMadluimy a+b
( ) Duai o n
wum a þamtand
Nsme Agm =) 1 U0d +y md =
lltgn
P nah dL m'0 to u amd d id m_a imi. 2 ax+by, +
Va+

Ju bn ond b
E (1,y)au uO hords om a+
d r u uduwn hu 1 hoimds Rullu ion e (3,y,) im
1 CoNVERSIO NS Xwms (2 z,,-v.) YaxIS= (-7,,.)
( , X , ) 8ain( V,)
Ma b -e/b PoSTI ON OE PoINTS
m imej l + (a t by,+) (41,t by, + c) >0 (sona pa
(ax+ by, +) (a1, +by, +c) <0
(opo
im vYpt =
-C
yimtvupt = -cb (ax,tby, +) (a1+ by, +c) 0 (amy

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