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11 Apr 2022, 08:45
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D
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Difficulty:
65%
(hard)
Question Stats:
56% (01:46) correct
44%
(01:40)
wrong
based on 187
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What is the smallest possible distance between the point (0, 5) and any point on the line \(y = -x + 3\)?
A. \(0\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(1\)
D. \(\sqrt{2}\)
E. \(2\)
Are You Up For the Challenge: 700 Level Questions
A. \(0\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(1\)
D. \(\sqrt{2}\)
E. \(2\)
Are You Up For the Challenge: 700 Level Questions
11 Apr 2022, 09:12
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Asked: What is the smallest possible distance between the point (0, 5) and any point on the line \(y = -x + 3\)?
Shortest distance from a point (m, n) from a line {ax + by + c = 0 } = \(|am+bn+c|/\sqrt{a^2 + b^2}\)
Equation of the line : x + y - 3 = 0
Shortest distance of the line from point (0,5) = \(|0+5-3|/\sqrt{2} = 2/\sqrt{2} = \sqrt{2}\)
IMO D
Shortest distance from a point (m, n) from a line {ax + by + c = 0 } = \(|am+bn+c|/\sqrt{a^2 + b^2}\)
Equation of the line : x + y - 3 = 0
Shortest distance of the line from point (0,5) = \(|0+5-3|/\sqrt{2} = 2/\sqrt{2} = \sqrt{2}\)
IMO D
General Discussion
11 Apr 2022, 09:05
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Bunuel
Answer: Option D
Step-by-Step Video solution by GMATinsight
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