Consider the parabola with vertex … and the directrix …. Let P be the point where the parabola meets the line …. If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)² is equal to :

Parabola

JEE Main 2021 · 1 Sep, Evening shift · Q4712

MathematicsHard92×since 2002Q4712

Consider the parabola with vertex

\left( {{1 \over 2},{3 \over 4}} \right)

and the directrix

y = {1 \over 2}

. Let P be the point where the parabola meets the line

x = - {1 \over 2}

. If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)² is equal to :