Consider a circle with centre at the origin and radius 4

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

Consider a circle

S

with centre at the origin and radius 4. Four circles

A, B, C

and

D

each with radius unity and centres

(-3, 0), (-1, 0), (1, 0)

and

(3, 0)

respectively are drawn. A chord

PQ

of the circle

S

touches the circle

B

and passes through the centre of the circle

C

. If the length of this chord can be expressed as

\sqrt{\lambda}

, then the value of

\frac{\lambda}{9}