JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Analyzing +4 | -1

a,b,c

are positive real numbers such that

a + b + c = 2

then, which one of the following is true?

View answer and explanation

Correct option: A

\left( {2 - a} \right)\left( {2 - b} \right)\left( {2 - c} \right) \ge 8abc

Option A (

\left( {2 - a} \right)\left( {2 - b} \right)\left( {2 - c} \right) \ge 8abc

) is correct because it is derived from applying the AM-GM inequality to the given conditions.

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