Published by:
CGP EDU Academic Team
Published on: August 14, 2026
An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the one is the same as the conjugate axis of the other. If e 1 , e 2 be their eccentricities respectively, then find value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Sol.
ellipse 
Hyperbola, 
∴ e 12 = 
, e 22 = 
and 2ae 1 = 2Ae 2
Also, b = B
So, 
= 
∴ 
= 1 – 
= 1 – 
= 
– 
+ 
⇒ 
+ 
= 2
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