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Question

If origin is shifted to the point (2,3) without rotation of axes then the coordinates of the point P which divides the join of A(4,8) and B(7,14) in the ratio 1:2 or 2:1 with respect to the new system of coordinates can be


A

(2,5)

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B

(3,7)

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C

(4,9)

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D

(5,11)

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Solution

The correct option is C

(4,9)


Coordinates of P can be
(8+73,16+143) or (14+43, 28+83)
=(5,10) or (6,12) in old system of coordinates.
=(52,103) or (62,123) in new system of coordinates =(3,7) or (4,9)


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