Locus of the middle point of the chords ...

Locus of the middle point of the chords of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` Which passes through a fixed point `(alpha,beta)` is hyperbola whose centre is (A) `(alpha,beta)` (B) `(2alpha,2beta)` (C) `(alpha/2,beta/2)` (D) none

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