The minimum area of a circle which touches the parabolas and is

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The minimum area of a circle which touches the parabolas

y=x^2+1

and

x=y^2+1

is (1)

\frac{9\pi}{16}

sq units (2)

\frac{9\pi}{32}

sq units (3)

\frac{9\pi}{8}

sq units (4)

\frac{9\pi}{4}

sq units