A geometry problem by Aditya Bhattacharjee

Geometry Level pending

A variable chord makes an intercept on the parabola \(y^{2}\) = 4ax, at points having parameters \(t_{1}\)and \(t_{2}\) respectively. The variable chord subtends a right angle at a fixed point having parameter k, which lies on the same parabola. The variable chord passes through a fixed point. What are the coordinates of this fixed point in terms of k??

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