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Locus of the point of intersection of th...

Locus of the point of intersection of the tangent at the ends of focal chord of an ellipse
`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`,`(b lt a)` is

A

`x=pm (a^(2))/(sqrt(a^(2)-b^(2)))`

B

` y=pm (b^(2))/(sqrt(a^(2)-b^(2)))`

C

` x=pm (a b)/(sqrt(a^(2)-b^(2)))`

D

` y=pm (a^(2))/(sqrt(a^(2)-b^(2)))`

Text Solution

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The correct Answer is:
A
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