If two of the three feet of normals drawn from a point to the parabola y^2 = 4x be (1, 2) and (1, -2) then the third foot is

JEE Advanced Mathematics question

If two of the three feet of normals drawn from a point to the parabola be and then the third foot is

Answer: (C)

The normal with slope to is ; through a point this gives , which has no term, so . The feet are , hence

+ + = -++ = 0 .

So $2 + (-2)

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Question ID VK-109032