Solution:
Equation of a tangent to the parabola isIf it passes through, then
which gives the slopes of two tangents passing through P. As these are at right angles, product of the Locus of is which is the directrix of the parabola.
If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is
If two tangents drawn from a point to the parabola are at right angles, then the locus of is
