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Question

The coordinates of the point (3,7) in the new system when the origin is shifted to (5,1) are

A
(8,6)
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B
(2,8)
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C
(2,8)
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D
(4,3)
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Solution

The correct option is D (2,8)
Let the point (x,y) changes to (X,Y) on shifting the origin to (h,k)
x=X+h,y=Y+k
3=X+5,7=Y1
X=2,Y=8
So, the new coordinates are (2,8)

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