Q.

If the chords of contact of P(x1, y1) and Q(x2, y2) w.r.t the ellipse x2a2+y2b2=1 are at right angle then x1 x2y1 y2=

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

-b2a2

b

-b4a4

c

-a4b4

d

a2b2

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given ellipse isx2a2+y2b2=1

equation  of chord of contact of P(x1,y1) is

x x1a2+y y1b2=1

slope of line m1=-b2x1a2y1

equation  of chord of contact of P(x2,y2) is

x x2a2+y y2b2=1

slope of line m2=-b2x2a2y2

m1m2=-1 b4 x1x2a4×y1y2=-1 x1 x2y1 y2=-a4b4 

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon