Flag Analytical Geometry> If the lines joining origin and point of ...
question mark

If the lines joining origin and point of intersection of curves ax2+2hxy+by2+2gx=0 and a1x2+2h1xy+b1y2+2g1x=0 are mutually perpendicular,then prove that-
g(a1+b1)=g1(a+b)

Jai Mahajan , 10 Years ago
Grade 12
anser 1 Answers
Agniva Kolay

Last Activity: 10 Years ago

a petty question on homogenization of equation.
ax2+2hxy+by2+2gx(1)=0 ...1 a1x2+2h1xy+b1y2= -2g1x ...2
a1x2+2h1xy+b1y2/(-2g1x)=1 ...3
now replacing 1 in eq 1 by a1x2+2h1xy+b1y2/(-2g1x)
we get a eqtn of pair of st lines passing through origin.
since angle betwn line is given 90 degree
so coeff of x^2 + coeff of y^2=0
so we getg(a1+b1)=g1(a+b) proved :D
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...