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Q.

The origin is shifted to (2,3) without changing the direction of the axes. If a point P has changed as (7,-2) then the original coordinates of a point P are

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a

(5,-5)

b

(-5,5)

c

(9,1)

d

(9,-1)

answer is C.

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Detailed Solution

The new origin is  (h,k)=(2,3)
The coordinates of the point P in the new coordinate system is  (X,Y)=(7,2)
Suppose that the coordinates of the point P in the original coordinate system is  (x,y)
The relation between the old and new coordinates is x=X+h,y=Y+k
Substitute the values 
x=X+h=7+2=9
and  
  y=Y+k=2+3=1
Therefore, the coordinates of point P original system is  9,1

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