Two circles of radii and touching each other externally

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Two circles of radii

a

and

b

touching each other externally, are inscribed in the area bounded by

y = \sqrt{1-x^2}

and the X-axis. If

b = \frac{1}{2}

, then

a

is equal to (1)

\frac{1}{4}

(2)

\frac{1}{8}

(3)

\frac{1}{2}

(4)

\frac{1}{\sqrt{2}}