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).