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Distance of the origin from the point (x, y)
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01 Dec 2024, 15:01
01 Dec 2024, 15:01
Expert Reply
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Question Stats:
100% (01:05) correct
0% (00:00) wrong based on 2 sessions
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Quantity A |
Quantity B |
Distance of the origin from the point (x, y) |
Distance of the origin from the point (1–x, 1–y) |
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Distance of the origin from the point (x, y)
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02 Dec 2024, 05:49
02 Dec 2024, 05:49
1
Quantity A: Distance of the origin from the point (x, y):
\(\sqrt{x^2 + y^2}\)
Quantity B: Distance of the origin from the point (1–x, 1–y):
\(\sqrt{(1-x)^2 + (1-y)^2}\)
\(\sqrt{x^2 + 1 - 2x + y^2 + 1 - 2y}\)
Now if x and y are both 0.5, the two quantities are equal, for any other values, the quantities are not, so D is the answer.
\(\sqrt{x^2 + y^2}\)
Quantity B: Distance of the origin from the point (1–x, 1–y):
\(\sqrt{(1-x)^2 + (1-y)^2}\)
\(\sqrt{x^2 + 1 - 2x + y^2 + 1 - 2y}\)
Now if x and y are both 0.5, the two quantities are equal, for any other values, the quantities are not, so D is the answer.
gmatclubot
Distance of the origin from the point (x, y) [#permalink]
02 Dec 2024, 05:49
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