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If e(1)ande(2) be the eccentricities of ...

If `e_(1)ande_(2)` be the eccentricities of the hyperbola `xy=c^(2)andx^(2)-y^(2)=c^(2)` respectively then :

A

`e_(1)^(2)+e_(2)^(2)=1`

B

`e_(1)^(2)+e_(2)^(2)=4`

C

`e_(1)^(2)+e_(2)^(2)=6`

D

`e_(1)^(2)+e_(2)^(2)=8`.

Text Solution

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The correct Answer is:
B
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