Let the length of major axis of an ellipse equal to the length of transverse axis of a hyperbola and their director circle have radius equal to 2R and R respectively. If e1 and e2 are the eccentricities of the ellipse and hyperbola then correct relation is

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

4e12−2e22=6

e12−4e22=6

2e12−e22=6

4e22−e12=6

answer is D.

(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

x2a2+y2b2=1 andx2a2−y2B2=1 a2+b2=4R2 =a2(2− e12) anda2−B2=R2=a2(2− e22)4=2− e1 22− e2 2 ⇒ 4e2 2− e12=6

Watch 3-min video & get full concept clarity