ExplanationLets start by writing the quantities A and B side by side
\(x + y ...??... 1.01\)
squaring both sides
\((x + y)^2 ...??... 1.01^2\)
or \(x^2 + y^2 + 2xy ...??... 1.0201\)
Now we know from the question that \(x^2 + y^2 = 1\). so putting that in our equation
\(1 + 2xy ...??... 1.0201\) or \(2xy ...??... 0.0201\)
So if x = 0 and y= 1 then Quantity B is greater but if we take \(x = 1/\sqrt{2}\) and \(y = 1/\sqrt{2}\) then Quantity A is greater.
Hence option D is correct.
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