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Ifchord 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 ( α , β ) is

A

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

B

`b^2c^2x^2+a^2c^2y^2=1`

C

`b^4c^2x^2+a^4c^2y^2=1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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