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Tangents at right angle are drawn to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1`. Show that the focus of the middle points of the chord of contact is the curve `(x^(2)/a^(2)+y^(2)/b^(2))^(2)=(x^(2)+y^(2))/(a^(2)+b^(2))`.

A

1

B

`(x^(2)+y^(2))/(a^(2)+b^(2))`

C

`(x^(2)-y^(2))/(a^(2)+b^(2))`

D

`(y^(2)-x^(2))/(a^(2)+b^(2))`

Text Solution

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The correct Answer is:
B
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