Parabola

Akul draws a Tangent from any point $(x_{1},y_{1})$ on the parabola $y^{2}$ =4ax. He then draws tangents are from any point on this tangent to a circle centred at origin, having radius $a$ . Mayank obsserves that All the chords of contact pass through a fixed point $(x_{2},y_{2})$ .

Find k given that $k(x_{1}/x_{2})+(y_{1}/y_{2})^2$ =0

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