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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

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

B

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

C

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

D

`(x^2)/(a^4)+(y^2)/(b^4)=(1)/(3c^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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