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20 Apr 2020, 11:37
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In the xy plane, the distance between the origin and the point (4,5) is the same as the distance between which of the following two points?
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
PS68850.02
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
PS68850.02
20 Apr 2020, 11:42
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Distance between (0,0) and (4,5)= \(\sqrt{(4-0)^2+(5-0)^2}\) = \(\sqrt{4^2+5^2}\)
Option A - Distance between (−3,2) and (−7,8) = \(\sqrt{(-7+3)^2+(8-2)^2}\) = \(\sqrt{4^2+6^2}\) {rejected}
Option B - Distance between (−2,1) and (3,5) = \(\sqrt{(3-(-2))^2+(5-1)^2}\) = \(\sqrt{5^2+4^2}\) {Answer}
We don't have to check further
Option A - Distance between (−3,2) and (−7,8) = \(\sqrt{(-7+3)^2+(8-2)^2}\) = \(\sqrt{4^2+6^2}\) {rejected}
Option B - Distance between (−2,1) and (3,5) = \(\sqrt{(3-(-2))^2+(5-1)^2}\) = \(\sqrt{5^2+4^2}\) {Answer}
We don't have to check further
Bunuel
In the xy plane, the distance between the origin and the point (4,5) is the same as the distance between which of the following two points?
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
PS68850.02
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
PS68850.02
General Discussion
MikeScarn
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GMAT 1: 690 Q44 V41
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GMAT 2: 730 Q50 V38
Posts: 278
20 May 2020, 19:54
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gmatt1476
In the xy plane, the distance between the origin and the point (4,5) is the same as the distance between which of the following two points?
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
(A) (−3,2) and (−7,8)
(B) (−2,1) and (3,5)
(C) (-2,-4) and (1,0)
(D) (3,2) and (8,7)
(E) (4,1) and (-1,-4)
Step 1: Find the distance between the origin (0,0) and (4,5)
\(\sqrt{4^2 + 5^2}\) = \(\sqrt{41}\)
Step 2: Scan the answer choices to see if any of the two points have a distance of 4 and 5 respectively on the x or y axis.
(B) -2 and 3 have a distance of 5 on the x axis. 1 and 5 have a distance of 4 on the y axis. Therefore the distance between (-2,1) and (3,5) is \(\sqrt{41}\)
