GRE Quantitative Reasoning · Question of the Day

GRE Quantitative Reasoning Question of the Day

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Wednesday, October 28, 2026

Points $U(-2,-2)$ and $V(3,4)$ lie in the coordinate plane. Which of the following equals the distance from $U$ to $V$ ?

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Question of the Day

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Points $U(-2,-2)$ and $V(3,4)$ lie in the coordinate plane. Which of the following equals the distance from $U$ to $V$ ?

$\sqrt{61}$ (correct answer)
$11$
$61$
$\sqrt{25}$
$\sqrt{11}$

Explanation: This question tests the concept of distance in coordinate geometry. The distance between two points (x1, y1) and (x2, y2) is given by the formula √[(x2 - x1)² + (y2 - y1)²]. For points U(-2,-2) and V(3,4), the difference in x-coordinates is 3 - (-2) = 5, and the difference in y-coordinates is 4 - (-2) = 6. Squaring these gives 25 and 36, and adding them results in 61. Taking the square root yields √61, which matches choice A. A tempting incorrect option is the Manhattan distance, which adds the absolute differences |5| + |6| = 11, appearing as choice B, but this measures grid path distance, not the straight-line Euclidean distance required here.