Mathematics

Problem

A line segment AB of length

\lambda

moves such that the points A and B remain on the periphery of a circle of radius

\lambda

. Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius [April 10, 2023 (I)] (a)

\frac{3}{5}\lambda

(b)

\frac{\sqrt{19}}{7}\lambda

(c)

\frac{2}{3}\lambda

(d)

\frac{\sqrt{19}}{5}\lambda