JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Hard

1 of 1

Analyzing +4 | -1

a,b,c

are different positive real number such that

\left( {b + c - a} \right),\left( {c + a - b} \right)

and

\;\left( {a + b - c} \right)

are positive, then

\left( {a + b - c} \right)\left( {b + c - a} \right)\left( {c + a - b} \right) - abc

View answer and explanation

Correct option: B

Negative

Option B (Negative) is correct because, by AM > GM, the product (a+b-c)(b+c-a)(c+a-b) is less than abc, making the expression negative.

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