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If the chord of contact of the tangents drawn from the point `(h , k)` to the circle `x^2+y^2=a^2` subtends a right angle at the center, then prove that `h^2+k^2=2a^2dot`

A

`h^(2)+k^(2)=a^(2)`

B

`2(h^(2)+k^(2))=a^(2)`

C

`h^(2)-k^(2)=a^(2)`

D

`h^(2)+k^(2)=2a^(2)`

Text Solution

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The correct Answer is:
D
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