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If the equation of family of ellipse is ...

If the equation of family of ellipse is `x^(2)sec^(2)theta+y^(2)cosec^(2)theta=1, where pi/4ltthetaltpi/2`, then the locus of extremities of the latusrectum is

A

`2y^(2)(1+x^(2))=(1-x^(2))^(2)`

B

`2x^(2)(1+y^(2)=(1-y^(2))^(2)`

C

`2y(1-x^(2))=1+x^(2)`

D

`2y^(2)(1+x^(2))=1+x^(4)-2x^(2)`

Text Solution

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The correct Answer is:
B, D
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