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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Mathematics
Chapter
Parabola

JEE Main 2010 · Mathematics · Parabola

If two tangents drawn from a point P to the parabola y^2=4 x are at...

If two tangents drawn from a point PP to the parabola y2=4xy^2=4 x are at right angles, then the locus of PP is

Options

  1. A2x+1=02 x+1=0
  2. Bx=−1x=-1
  3. C2x−1=02 x-1=0
  4. Dx=1x=1

Correct answer

B. x=−1x=-1

Step-by-step solution

The locus of perpendicular tangents is directrix  i.e, \text{ i.e, }x=-a ; x=-1
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