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04 Feb 2021, 07:45
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If x^2 + y^2 = a and x + y = b, then in terms of a and b xy =
A. \(\frac{b^2 - a}{2}\)
B. \(\frac{b^2 - a}{4}\)
C. \(\frac{b - a}{2}\)
D. \(\frac{a^2 - b^2}{2}\)
E. \(\frac{ab}{2}\)
A. \(\frac{b^2 - a}{2}\)
B. \(\frac{b^2 - a}{4}\)
C. \(\frac{b - a}{2}\)
D. \(\frac{a^2 - b^2}{2}\)
E. \(\frac{ab}{2}\)
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04 Feb 2021, 07:51
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\(x^2+y^2\) = a.....Eq-1
x+y = b.....Eq-2
Square Eq-2
\(x^2+y^2+2xy\) = \(b^2\)
a + 2xy = \(b^2\)........from Eq-1
xy = \(\frac{b^2 - a}{2}\)
Option A
x+y = b.....Eq-2
Square Eq-2
\(x^2+y^2+2xy\) = \(b^2\)
a + 2xy = \(b^2\)........from Eq-1
xy = \(\frac{b^2 - a}{2}\)
Option A
24 Mar 2022, 02:10
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Similar Question: https://gmatclub.com/forum/if-x-2-y-2-a ... 85608.html
