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Let A be the point (1, 2) and B be any point on the curve x 2 + y 2 = 16. If the centre of the locus of the point P, which divides the line segment AB in the ratio 3 : 2 is the point C (  ,  ), then the length of the line segment AC is -

1. 5 5 3
2. 5 5 4
3. 5 5 2
4. 5 5 6

Correct answer: 5 5 3

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