Tangents are drawn to a parabola (length of its latus rectum=4) from a point P outside it. These touch the parabola at A and B. The triangle PAB is completed. The locus of the orthocenter of this triangle cuts the parabola at 2 points. One is the vertex of the parabola. At the second point of intersection (not the vertex), a tangent is drawn to the parabola. Find the angle that this tangent makes with the locus of the orthocenter of triangle PAB. How do we approach these types of locus problems?

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