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Question

When the origin is shifted to a point P, the point (2,0) is transformed to (0,4) then the co-ordinates of P are

A
(2,4)
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B
(2,4)
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C
(2,4)
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D
(2,4)
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Solution

The correct option is A (2,4)
Let the point (x,y) changes to (X,Y) on shifting the origin to (h,k)
x=X+h,y=Y+k
2=0+h,0=4+k
h=2,k=4
So, the coordinates of new origin P are (2,-4)

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