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If [m](x − y)^2 = x^2 + y^2[/m], then which one of the following state
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25 Feb 2021, 05:20
25 Feb 2021, 05:20
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If \((x − y)^2 = x^2 + y^2\), then which one of the following statements must also be true?
I. x = 0
II. y = 0
III. xy = 0
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
I. x = 0
II. y = 0
III. xy = 0
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: If [m](x − y)^2 = x^2 + y^2[/m], then which one of the following state
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25 Feb 2021, 11:43
25 Feb 2021, 11:43
1
Carcass wrote:
If \((x − y)^2 = x^2 + y^2\), then which one of the following statements must also be true?
I. x = 0
II. y = 0
III. xy = 0
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
I. x = 0
II. y = 0
III. xy = 0
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
A. \(x\) must be zero, not always
\((2 − 0)^2 = 2^2 + 0^2\)
\(4 = 4\)
A. \(y\) must be zero, not always
\((0 − 2)^2 = 0^2 + 2^2\)
\(4 = 4\)
C. \((x − y)^2 = x^2 + y^2\)
\(x^2 + y^2 - 2xy = x^2 + y^2\)
Which means \(xy = 0\)
Hence, option D
Re: If [m](x y)^2 = x^2 + y^2[/m], then which one of the following state
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09 May 2023, 09:26
09 May 2023, 09:26
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