# 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**??