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Question

If (2,3) are the coordinates of a point P in the new system when the origin is shifted to (−3,7) then the original coordinates of P are

A
(1,10)
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B
(5,4)
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C
(5,4)
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D
(1,5)
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Solution

The correct option is A (1,10)
When the point (x,y) changes to (X,Y) on shifting the origin to (h,k)
Then, x=X+h,y=Y+k
x=23,y=3+7
x=1,y=10
So, the original coordinates are (1,10)

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