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If the locus of centres of a family of c...

If the locus of centres of a family of circles passing through the vertex of the parabola `y^2=4ax` and cutting the parabola orthogonally at the other point of intersection is `2y^2(2y^2 + x^2-12ax)=ax(kx-4a)^2`,then find the value of k.

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