GRE Quantitative · Question of the Day

GRE Quantitative Question of the Day

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Tuesday, August 11, 2026

Points $E(-3,-5)$ and $F(1,0)$ lie in the coordinate plane. What is the distance between $E$ and $F$ ?

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Question of the Day

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Points $E(-3,-5)$ and $F(1,0)$ lie in the coordinate plane. What is the distance between $E$ and $F$ ?

$\sqrt{41}$ (correct answer)
$9$
$41$
$\sqrt{25}$
$\sqrt{13}$

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 E(-3,-5) and F(1,0), the difference in x-coordinates is 1 - (-3) = 4, and the difference in y-coordinates is 0 - (-5) = 5. Squaring these gives 16 and 25, and adding them results in 41. Taking the square root yields √41, which matches choice A. A tempting incorrect option is the Manhattan distance, which adds the absolute differences |4| + |5| = 9, appearing as choice B, but this measures grid path distance, not the straight-line Euclidean distance required here.