A circle passes through the points and and touches the -axis at

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

Problem

A circle passes through the points

A(1, 0)

and

B(5, 0)

and touches the

Y

-axis at

C(0, \lambda)

. If

\angle ACB

is maximum, then (1)

|\lambda| = \sqrt{5}

(2)

|\lambda| = 2\sqrt{5}

(3)

|\lambda| = 3\sqrt{5}

(4)

|\lambda| = 4\sqrt{5}