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If e1 is the eccentricity of the conic 9...

If `e_1` is the eccentricity of the conic `9x^2+4y^2=36\ a n d\ e_2` is the eccentricity of the conic `9x^2-4y^2=36` then `e1 2-e2 2=2` b. `e2 2-e1 2=2` c. `2<3 2 2-3 1 2<3` d. `e2 2-e1 2>3`

A

`e_1^2 + e_2^2 gt 3`

B

`e_1^2 + e_2^2 = 2`

C

`e_1^2 + e_2^2 gt 4`

D

`e_1^2 + e_2^2 lt 4`

Text Solution

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The correct Answer is:
A, D
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