JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The value of

\lambda

for which the quadratic equation

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

has roots of opposite signs, lies in the interval.

View answer and explanation

Correct option: A

(1,2)

Option A (

(1,2)

) is correct because the product of the roots of the quadratic equation must be negative, leading to the inequality

(\lambda-1)(\lambda-2) < 0

, which is satisfied when

1 < \lambda < 2

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