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If chord ofcontact ofthe tangents drawn from the point `(alpha,beta)`to the ellipse `x^2/a^2+y^2/b^2=1`,touches the circle `x^2+y^2=c^2`, then the locus of the point

A

`c^(2)(a^(4)x^(2)+b^(4)y^(2))=a^(4)b^(4)`

B

`c^(2)(a^(4)y^(2)+b^(4)x^(2))=a^(4)b^(4)`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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