Parabola

Geometry Level 4

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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