On what point must the origin be shifted, if the coordinates of a point $(4, 5)$ become $(- 3, 9)$ ?

(7, - 4)

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(- 7, 4)

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(1, 14)

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(- 1, 14)

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Solution

The correct option is A $(7, - 4)$
Let origin is shifted to point $(x, y)$ then
$4 - x = - 3, 5 - y = 9 \Rightarrow x = 7, y = - 4$

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Similar questions

If the origin is shifted to the point (2, 3), the coordinates of a point become (5, -4). Find the original coordinates, when the axes are parallel.

(4, 5),

(1, - 2)

(4, 5)

(3, 7)

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

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