Let P : y² = 4ax, a > 0 be a parabola with focus S. Let the tangents to the parabola P make an angle of … with the line y = 3x + 5 touch the parabola P at A and B. Then the value of a for which A, B and S are collinear is :

Parabola

JEE Main 2022 · 29 Jun, Evening shift · Q4748

MathematicsHard92×since 2002Q4748

Let P : y² = 4ax, a > 0 be a parabola with focus S. Let the tangents to the parabola P make an angle of

{\pi \over 4}

with the line y = 3x + 5 touch the parabola P at A and B. Then the value of a for which A, B and S are collinear is :

JEE Main 2022 · 29 Jun, Evening shift · Q4748

MathematicsHard92×since 2002Q4748

Let P : y² = 4ax, a > 0 be a parabola with focus S. Let the tangents to the parabola P make an angle of

{\pi \over 4}

with the line y = 3x + 5 touch the parabola P at A and B. Then the value of a for which A, B and S are collinear is :