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If chords of the hyperbola x^2 - y^2 - a^2 touch the parabola y^2 = 4ax. Then, the locus of the middle points of these chords is the curve

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If chords of the hyperbola x2 - y2 - a2 touch the parabola y2 = 4ax. Then, the locus of the middle points of these chords is the curve 

(a) y2 = (x - a)x3 

(b) y2(x - a) = x3 

(c) x2(x - a) = x3 

(d) None of these

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Correct option (b) y2(x - a) = x3 

Explanation:

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