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Prove that the chord of contact of tange...

Prove that the chord of contact of tangents drawn from the point (h,k) to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` will subtend a right angle at the centre, if `h^(2)/a^(4)+k^(2)/b^(4)=1/a^(2)+1/b^(2)`

A

`(1)/(a^2)-(x^2)/(a^4)+(1)/(b^2)-(y^2)/(b^4)=0`

B

`(1)/(a^2)-(x^2)/(a^4)-(1)/(b^4)-(y^2)/(b^4)=0`

C

`(1)/(a^2)+(x^2)/(a^4)+(1)/(b^4)+(y^2)/(b^4)=0`

D

None of these

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The correct Answer is:
A
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