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The locus of the mid-point of the chords...

The locus of the mid-point of the chords of the hyperbola `x^(2)-y^(2)=4`, that touches the parabola `y^(2)=8x` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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