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The locus of the point of intersection o...

The locus of the point of intersection of tangents to the circles `x=a cos theta, y = a sin theta` at points whose parametric angle differs by `pi//4` is

A

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

B

`4(x^2 + y^2) = 3a^2`

C

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

D

None of these

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The correct Answer is:
C
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