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JEE Main202127 Aug 2021Evening ShiftMathematicsParabolaActual

If two tangents drawn from a point P to the parabola y 2 = 16 ( x - 3 ) are at right angles, then the locus of point P is:

Options

  1. Ax + 4 = 0
  2. Bx + 2 = 0
  3. Cx + 3 = 0
  4. Dx + 1 = 0

Correct answer

D. x + 1 = 0

Step-by-step solution

If two tangents drawn from a point P to the parabola y 2 = 16 ( x - 3 ) are at right angles. Given the equation of parabola y 2 = 16 ( x - 3 ) Then, the locus point is P Locus is directrix of parabola is x + a = 0 x - 3 + 4 = 0 x + 1 = 0

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