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If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) `2x""+""1""=""0` (2) `x""=""1` (3) `2x"""

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If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) `2x""+""1""=""0` (2) `x""=""1` (3) `2x""""1""=""0` (4) `x""=""1`
A. x=-1
B. 2x-1=0
C. x=1
D. 2x+1=0
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Correct Answer - A
The locus of the point of intersection of perpendicular tangents to a parabola is its directrix. Hence, the locus of P is x = -1.
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