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Question

Origin is shifted to the point (-1,2) to form a new co-ordinate system. What will be the co-ordinate of (3,-5) in the new co-ordinate system.



Your Answer
A

(2,-3)

Your Answer
B

(-3,2)

Your Answer
C

(-4,-7)

Correct Answer
D

(4,-7)


Solution

The correct option is D

(4,-7)


If the origin moves to (h,k) the coordinates of (x,y) in the new coordinate system will be (x-h,y-k).The x coordinate is the distance we have to travel in the x-direction to reach the point with sign.Similarly y coordinate.

From (-1,2) to reach (3,-5), we have to travel 4 units in the +ive x-direction and 7 units in the -ve y direction.So the new coordinates will be (4,-7) we can directly calculate it as 

(3-(-1),-5,-2) = (4,-7)

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