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Question

Mathematics Question on circle

A line segment AB of length λ moves such that the points A and B remain on the periphery of a circle of radius λ. Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius

A

197λ\frac{\sqrt{19}}{7}\lambda

B

195λ\frac{\sqrt{19}}{5}\lambda

C

23λ\frac{{2}}{3}\lambda

D

35λ\frac{{3}}{5}\lambda

Answer

195λ\frac{\sqrt{19}}{5}\lambda

Explanation

Solution

The Correct Option is (B):195λ\frac{\sqrt{19}}{5}\lambda