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Find the locus of the midpoints of the chords of the circles `x^(2)+y^(2)=16`, which are tangent to the hyperbola `9x^(2)-16y^(2)=144`.

A

`x^2+y^2=7`

B

`(x^2+y^2)^2=7`

C

`(x^2+y^2)^2=16x^2-9y^2`

D

`(x^2+y^2)^2=25`

Text Solution

Verified by Experts

The correct Answer is:
C
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