Question

Find the new coordinates of the point (3, 4), if the origin is shifted to the point (1, 3).

• A. (2, 1)
• B. (1, 2)
• C. (1, -2)
• D. (2, -1)

Answer 1

The correct option is A (2, 1)

Initially the origin was (0,0) and the point was (3,4). If the origin is now shifted to a new point (1,3), then the coordinates of the new point will be (X,Y) with respect to the new origin(h=1, k=3). Thus, (3,4) = (X+1, Y+3). Solving, we get, X=2 and Y=1