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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^(2)+y^(2)=2(sqrt(2)-1)^(2)a^(2)`

B

`x^(2)+y^(2)=2(2-sqrt(2))a^(2)`

C

`x^(2)+y^(2)-(sqrt(2)+1)^(2)a^(2)`

D

`9(x^(2)+y^(2))=4a^(2)`

Text Solution

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The correct Answer is:
B
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