New coordinates of the point (7,-1) would be, if the origin is shifted to the point (1,2) by translation of the axis.

(-3,6)

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(0,0)

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(6,3)

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(6,-3)

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Solution

The correct option is D
(6,-3)

Let (h, k) be the new coordinates.

The origin is shifted to the point (1, 2).

Therefore,

h=7-1=6

k=-1-2=-3

The new coordinates are (6, -3).

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