Point lies above the parabola given by

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

Problem

Point

A(0,3)

lies above the parabola given by

y=4-x^2

. What is the minimum distance between

A

and a point on the parabola? (a)

1

(b)

\dfrac{1}{2}

(c)

\dfrac{\sqrt{3}}{2}

(d)

\dfrac{\sqrt{6}}{2}