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02 Apr 2020, 10:56
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:06) correct
46%
(01:59)
wrong
based on 329
sessions
History
Date
Time
Result
Not Attempted Yet
What is the shortest distance from the point (1/2, 1) to the curve represented by \(y = |x - 1| + |x + 1|\) ?
A. 0
B. 1
C. \(\sqrt{2}\)
D. 1.5
E. 2
A. 0
B. 1
C. \(\sqrt{2}\)
D. 1.5
E. 2
02 Apr 2020, 11:40
Kudos
Bookmarks
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
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
Attachments
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General Discussion
25 Aug 2026, 08:37
Kudos
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