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Question

Question: P is a variable point on the curve y = f (x) and A is a fixed point in the plane not lying on the cu...

P is a variable point on the curve y = f (x) and A is a fixed point in the plane not lying on the curve. If PA2 is minimum, then the angle between PA and the tangent at P is-

A

π4\frac{\pi}{4}

B

π3\frac{\pi}{3}

C

π2\frac{\pi}{2}

D

None of these

Answer

π2\frac{\pi}{2}

Explanation

Solution

Obviously, AP is perpendicular on the tangent drawn to the curve.