The shortest distance between the line and the curve is

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

Problem

The shortest distance between the line

y-x=1

and the curve

x=y^2

is (1)

\frac{3\sqrt{2}}{8}

(2)

\frac{8}{3\sqrt{2}}

(3)

\frac{4}{\sqrt{3}}

(4)

\frac{\sqrt{3}}{4}