A straight line meets the X and y axes a...

A straight line meets the X and y axes at the points A,B respectively if AB=6 units then the locus of the point P which divides the line segment AB such that AP:PB =2 :1 is

A

`3x^(2) + y^(2) = 36`

B

`4x^(2) + y^(2) +36`

C

`3x^(2) + y^(2) =16`

D

`4x^(2) + y^(2) =16`

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The correct Answer is:

D

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