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 :

Question

${2 \over 3}\lambda $

${3 \over 5}\lambda $

${{\sqrt {19} } \over 7}\lambda $

${{\sqrt {19} } \over 5}\lambda $

Solution

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