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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(alpha,beta)`, then the length of the line segment AC is

A

`(3sqrt5)/5`

B

`(4sqrt5)/5`

C

`(2sqrt5)/5`

D

`(6sqrt5)/5`

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