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JEE Main 202127 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Evening Shift
Subject
Mathematics
Chapter
Parabola

JEE Main 2021 · 27 August · Evening Shift · Mathematics · Parabola

If two tangents drawn from a point P to the parabola y ^ 2 = 16 ( x...

If two tangents drawn from a point PP to the parabola y2=16(x−3){y}^{2} = 16 ( x - 3 ) are at right angles, then the locus of point PP is:

Options

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

Correct answer

D. x+1=0x + 1 = 0

Step-by-step solution

If two tangents drawn from a point PP to the parabola y2=16(x−3){y}^{2} = 16 ( x - 3 ) are at right angles.

Given the equation of parabola y2=16(x−3){y}^{2} = 16 ( x - 3 )

Then, the locus point is PP

Locus is directrix of parabola is x+a=0x + a = 0
x−3+4=0x - 3 + 4 = 0

x+1=0x + 1 = 0

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