Consider the parabola with vertex (1/2,3/4) and the directrix y = 1/2. Let P be the point where the parabola meets the line x = - 1/2. If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)² is equal to:

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q4712

JEE Main 20211 Sep, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

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 :