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Question:

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

2x+1=0

x=1

x=-1/2

2x-1=0

Solution:

The locus of perpendicular tangents is directrix i.e, x = -a; x = -1/2. Hence, option 'A' is correct.