Parabola Problem

Geometry Level 4

From a point P (α,α)P \ (\alpha,\alpha), tangents are drawn to the parabola y2=4axy^2=4ax. They touch the parabola in AA and BB. PAB\triangle PAB is completed. Then the locus of the orthocenter of this triangle is a

Note : αR[0,4a] and aR+\textbf{Note :} \ \alpha \in \mathbb{R}-[0,4a] \ \text{and} \ a \in \mathbb{R}^+

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