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The locus of the point of intersection o...

The locus of the point of intersection of the tangents to the circle `x =a cos theta, y = a sin theta` at the points, whose parametric angles differ by `(pi)/(3)` is

A

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

B

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

C

`x^(2)+y^(2)=4r^(2)`

D

none of these

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The correct Answer is:
B
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