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Question: Answered & Verified by Expert
If two tangents drawn from a point $P$ to the parabola $y^2=4 x$ are at right angles, then the locus of $P$ is
MathematicsParabolaJEE MainJEE Main 2010
Options:
  • A
    $2 x+1=0$
  • B
    $x=-1$
  • C
    $2 x-1=0$
  • D
    $x=1$
Solution:
1962 Upvotes Verified Answer
The correct answer is:
$x=-1$
The locus of perpendicular tangents is directrix
$$
\text { i.e, } x=-a ; x=-1
$$

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