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Question

If the origin is shifted to (7,-4), then the coordinates of the point P(4, 5) will become .

A
(-3, 9)
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B
(-3, -9)
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C
(3, 9)
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D
(3, -9)
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Solution

The correct option is A (-3, 9)
Let (x, y) be the coordinates of the point P when the origin was (0, 0) and (X, Y) be the coordinates of P when
the origin is (7, -4).
We know that, X=x-h
X=4-7=-3
and Y=y-k
Y=5-(-4)=9
New coordinates of P will
be (-3, 9).

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