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Prove that the focus of id-points of the...

Prove that the focus of id-points of the portion of the tamgents to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` intercepted between the axes is a `a^(2)y^(2)+b^(2)x^(2)=4x^(2)y^(2)`.

A

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

B

`(a^2)/(x^2)+(b^2)/(y^2)=4`

C

`(a^2)/(x^2)-(b^2)/(y^2)=4`

D

None of these

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The correct Answer is:
B
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