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

  1.  5 3
  2.  3 2
  3.  5 19
  4.  7 19 CAREER POINT CAREER POINT CAREER POINT Ltd., CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 081-47250011 www.careerpoint.ac.in 3 JEE Main Online Paper

Correct answer:  5 19

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