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=2−3,y=3+7 ⇒x=−1,y=10 So, the original coordinates are (−1,10)