JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

Let

a,b,c

be positive real numbers and

a{x^2} + b/{x^2} \ge 2

for all

x \in {R^ + }

. Then,

View answer and explanation

Correct option: A

4ab \ge {c^2}

Option A (

4ab \ge {c^2}

) is correct because it ensures that the given inequality holds for all positive real numbers x, derived from the minimum value of the expression.

More Questions from QUADRATIC EQUATIONS

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{x^2} - px + q = 0

{\alpha _1},{\beta _1}

{x^2} - qx + p = 0,

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{x^2} + 4ax + 2 > 0

x

a

f\left( x \right) = a{x^2} + bx + c\;

\;f\left( { - 1} \right) < 1,f\left( 1 \right) > - 1,f\left( 3 \right) < - 4\;

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9{x^2} - 18\left| x \right| + 5 = 0

f\left( x \right) = \log \left( {{x^2} - x - 2} \right)