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If e1 and e2 are eccentricities of two h...

If `e_1 and e_2` are eccentricities of two hyperbolas :
`x^2/a^2-y^2/b^2=1 and x^2/b^2-y^2/a^2=1` , then :

A

`e_1=e_2`

B

`e_1e_2=1`

C

`e_1=-e_2`

D

`1/e_1^2+1/e_2^2=1`.

Text Solution

Verified by Experts

The correct Answer is:
D
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