# 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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