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What is the shortest distance from the point (1/2, 1) to the curve rep

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Math Expert
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Joined: 02 Sep 2009
Posts: 64068
What is the shortest distance from the point (1/2, 1) to the curve rep  [#permalink]

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New post 02 Apr 2020, 09:56
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A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

45% (02:22) correct 55% (02:21) wrong based on 56 sessions

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Senior Manager
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Status: Today a Reader; Tomorrow a Leader.
Joined: 14 Oct 2019
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Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: What is the shortest distance from the point (1/2, 1) to the curve rep  [#permalink]

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New post 02 Apr 2020, 10:40
1
the shortest distance from the point (1/2, 1) to the curve represented by y=|x−1|+|x+1| is 1 .
case I : x≥0 , y = x-1+x+1 = 2x
case II : -1<x<1 , y = 1-x+x+1 = 2
case III : x ≤ 0 , y=1-x-1-x = -2x

so the shortest distance will be the perpendicular on the line y=2 ( parallel to x axis ) from point (1/2, 1) = 1

correct answer is B
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GMAT Club Bot
Re: What is the shortest distance from the point (1/2, 1) to the curve rep   [#permalink] 02 Apr 2020, 10:40

What is the shortest distance from the point (1/2, 1) to the curve rep

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