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If a = (x + y)2 and b = x2 + y2 and xy > 0, which of the fol

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If a = (x + y)2 and b = x2 + y2 and xy > 0, which of the fol [#permalink] New post 20 May 2018, 10:51
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If \(a = (x + y)^2\) and \(b = x^2 + y^2\) and \(xy > 0\), which of the following must be true?
Indicate all such statements.

A. a = b
B. a > b
C. a is positive
[Reveal] Spoiler: OA

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Re: If a = (x + y)2 and b = x2 + y2 and xy > 0, which of the fol [#permalink] New post 20 Jun 2018, 01:12
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expanding a we get, a = \(x^2 + y^2 + 2xy\)
b = \(x^2 + y^2\)
Since \(xy\) > 0; \(2xy\) > \(0\)
therefore a is greater than b by \(2xy\); Hence option a is not correct but option b is correct

we know square of any number is always +ve hence\(x^2 + Y^2\) is +ve and when it is added to \(2xy\) the result is +ve
option c is also correct.

Hence only option b and c are correct.
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Re: If a = (x + y)2 and b = x2 + y2 and xy > 0, which of the fol   [#permalink] 20 Jun 2018, 01:12
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If a = (x + y)2 and b = x2 + y2 and xy > 0, which of the fol

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