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Locus of the point of intersection of perpendicular tangents to the circle ` x^(2)+y^(2)=16` is

A

`x^(2)+y^(2)=8`

B

`x^(2)+y^(2)=32`

C

`x^(2)+y^(2)=64`

D

`x^(2)+y^(2)=16`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that that , if two perpendicular tangents to the circle ` x^(2)+y^(2)=a^(2)` meet at P, then the point P lies on a director circle.
`:.` Required locus is ` x^(2)+y^(2)=32`
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