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The locus of the mid points of the chords of the hyperbola \({x}^{2}-{y}^{2}=4\), which touch the parabola \({y}^{2}=8x\…

Q1

The locus of the mid points of the chords of the hyperbola \({x}^{2}-{y}^{2}=4\), which touch the parabola \({y}^{2}=8x\), is:

[JEE Main 2021, 26 Aug (Shift 2)]

a

\({y}^{3}(x-2)={x}^{2}\)

b

\({x}^{3}(x-2)={y}^{2}\)

c

\({y}^{2}(x-2)={x}^{3}\)

d

\({x}^{2}(x-2)={y}^{3}\)

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