Coordinate Geometry Question 162
Question: The new coordinates of a point (4, 5), when the origin is shifted to the point (1,-2) are
[MNR 1988; IIT 1989; UPSEAT 2000]
Options:
A) (5, 3)
B) (3, 5)
C) (3, 7)
D) None of these
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Answer:
Correct Answer: C
Solution:
We know that if the origin is shifted to (h, k), then new coordinates (x, y) becomes (x - h, y - k). Therefore, the new coordinate of (4, 5) with respect to new origin (1, - 2) are (3, 7).