Carcass wrote:
a and b are both > 0 and < 1
Quantity A |
Quantity B |
\(a^2 + b^2\) |
\(a + b\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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R.A.ESince,
0 < a,b < 1
i.e they are positive fraction.
without calculation we can see that QTY A is addition to the square of each fraction , whereas QTY B is addition to each number
we know if the fraction is squared their value decreases the original value
i.e for example \((\frac{1}{2})^2 < \frac{1}{2}\)
So QTY A < QTY B
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