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JEE Math Practice Question

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 :

  1. A.$${2 \over 3}\lambda $$
  2. B.$${3 \over 5}\lambda $$
  3. C.$${{\sqrt {19} } \over 7}\lambda $$
  4. D.$${{\sqrt {19} } \over 5}\lambda $$

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