# JEE Coordinate (5)!

Geometry Level 4

Through the vertex of the parabola $$y^2 = 4ax$$, two chords are drawn and the circle on these chords as diameters intersect at a point.

If $$A$$ and $$B$$ be the angles made with the $$x$$-axis by tangents at the other ends of chords and $$C$$ be the angle made with the $$x$$-axis by the line joining vertex of the parabola and point of intersection of circles, then $$\cot(A)+\cot(B)+m\tan(C) = 0$$ for some constant positive integer $$m$$.

Find $$m$$.

This is a part of my set Practice for JEE 2017!

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