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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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If a,ba, b and cc are three positive real numbers such that a+b≥ca+b \geq c, then
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Correct option: A
a1+a+b1+b≥c1+c\frac{a}{1+a}+\frac{b}{1+b} \geq \frac{c}{1+c}
The correct answer is A (a1+a+b1+b≥c1+c\frac{a}{1+a}+\frac{b}{1+b} \geq \frac{c}{1+c}) because it uses the given condition a+b≥ca+b \geq c to prove the inequality.

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