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The tangent at any point to the circle x...

The tangent at any point to the circle `x^2+y^2=r^2` meets the coordinate axes at A and B.If the lines drawn parallel to axes through A and B meet at P then locus of P is

A

`x ^(2) + y ^(2) = r^(-2)`

B

`x ^(-2) + y ^(-2) =r ^(2)`

C

`(1)/(x ^(2)) + (1)/(y ^(2)) = (1)/(r ^(2))`

D

`(1)/(x ^(2)) -(1)/(y ^(2))=r ^(2)`

Text Solution

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The correct Answer is:
C
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