JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

The values of

a

, for which the quadratic equation

3 x^2+2\left(a^2+1\right) x+\left(a^2-3 a+2\right)=0

possesses roots of opposite sign, are

View answer and explanation

Correct option: A

1 < a < 2

Option A (

1 < a < 2

) is correct because the roots have opposite signs when the product of the roots is negative, leading to the inequality

(a-1)(a-2) < 0

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{\alpha _1},{\beta _1}

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

x

a

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

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

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