Parabola Problem
Geometry
Level
4
From a point \(P \ (\alpha,\alpha)\), tangents are drawn to the parabola \(y^2=4ax\). They touch the parabola in \(A\) and \(B\). \(\triangle PAB\) is completed. Then the locus of the orthocenter of this triangle is a
\(\textbf{Note :} \ \alpha \in \mathbb{R}-[0,4a] \ \text{and} \ a \in \mathbb{R}^+\)
by
Pratik Shastri