Is a variable point on the curve and is a fixed point in the plane not lying on the curve

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

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

PA^2

is minimum, then the angle between

PA

and the tangent at

P

is (1)

\frac{\pi}{4}

(2)

\frac{\pi}{3}

(3)

\frac{\pi}{2}

(4) None of these