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The locus of the mid-points of the chord...

The locus of the mid-points of the chords of the circle `x^(2) + y^(2) = 16` which are the tangents to the hyperbola `9x^(2) - 16y^(2) = 144` is

A

`3x^(2) - 4y^(2) = 16 ( x^(2) + y^(2) )`

B

`4x^(2) - 3y^(2) = 9 ( x^(2) + y^(2) )`

C

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

D

`16x^(2) - 9y^(2) = 4 ( x^(2) + y^(2) )`

Text Solution

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The correct Answer is:
C
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