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

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q4748

JEE Main 202229 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

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

JEE Main 202229 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

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 :