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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^3(x-2) = x^2`

B

`x^2(x-2) = y^3`

C

`x^3(x-2) = y^2`

D

`y^2(x-2) = x^3`

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