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Find the locus of the point of intersect...

Find the locus of the point of intersection of tangents to the circle `x=acostheta,y=asintheta` at the points whose parametric angles differ by `(i) pi/3, `

A

`x ^(2) + y ^(2) =2 ( sqrt2 -1) ^(2) a ^(2)`

B

`x ^(2) +y ^(2) =2 (2- sqrt2)a ^(2)`

C

`x ^(2) + y^(2) = (sqrt2 +1) ^(2) a ^(2)`

D

none of these

Text Solution

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The correct Answer is:
B
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