In the xy-plane, the origin O is the midpoint of line segment PQ…

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Last Updated on May 11, 2023

GMAT OFFICIAL GUIDE PS

Solution:

We can let the coordinates of Q be (x, y). Since the origin (0, 0) is the midpoint of PQ, we have:

(r + x)/2 = 0 and (s + y)/2 = 0

Multiplying each equation by 2, we have:

r + x = 0 and s + y = 0

x = -r and y = -s

Thus, the coordinates of Q are (-r, -s).

Answer: E

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