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In the rectangular coordinate plane, the coordinates of points A, B

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In the rectangular coordinate plane, the coordinates of points A, B  [#permalink]

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New post 31 Oct 2018, 01:25
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (02:16) correct 35% (02:32) wrong based on 71 sessions

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Joined: 01 Oct 2017
Posts: 1019
WE: Supply Chain Management (Energy and Utilities)
In the rectangular coordinate plane, the coordinates of points A, B  [#permalink]

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New post 31 Oct 2018, 10:29
Bunuel wrote:
In the rectangular coordinate plane, the coordinates of points A, B, and C are (1, 4), (7, 4 + 6√3) and (7, 4), respectively. What is the absolute value of the difference between AB and BC ?


A. 6

B. 4 + √3

C. 6 – 6√3

D. 6√3 – 12

E. 12 – 6√3


To find:- |AB-BC|=?

\(AB= \sqrt{(7-1)^2+(4 + 6√3-4)^2}=\sqrt{36+108}=\sqrt{144}=12\)
\(BC=\sqrt{(7-7)^2+(4 - 4-6√3)^2}=\sqrt{0+(6√3)^2}=6√3\)

\(|AB-BC|=|12-6√3|\)

Ans. (E)
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In the rectangular coordinate plane, the coordinates of points A, B   [#permalink] 31 Oct 2018, 10:29
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In the rectangular coordinate plane, the coordinates of points A, B

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