If $a, b, c > 0$ and $a(1-b) > \frac{1}{4}, b(1-c) > \frac{1}{4}$ and $c(1-a) > \frac{1}{4}$, then

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

a, b, c > 0

and

a(1-b) > \frac{1}{4}, b(1-c) > \frac{1}{4}

and

c(1-a) > \frac{1}{4}

, then

View answer and explanation

Correct option: A

never possible

Option A (never possible) is correct because the given inequalities lead to a contradiction, making the situation impossible.

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