JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

For positive real number

a,b,c

which of the following holds?

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Correct option: A

a + b + c > 3 \Rightarrow {a^2} + {b^2} + {c^2} > 3

Option A (

a + b + c > 3 \Rightarrow {a^2} + {b^2} + {c^2} > 3

) is correct because it can be proven using the inequality

3\left( {{a^2} + {b^2} + {c^2}} \right) \ge {\left( {a + b + c} \right)^2}

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