Let P be a variable point on the parabola y=4x2+1. Then, the locus of – InterviewSolution

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1.	Let P be a variable point on the parabola y=4x2+1. Then, the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y=x is:
Answer» Let $P$ be a variable point on the parabola $y = 4 x^{2} + 1.$ Then, the locus of the mid-point of the point $P$ and the foot of the perpendicular drawn from the point $P$ to the line $y = x$ is:

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