JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The value of

k

for which the number 3 lies between the roots of the equation

x^2+(1-2 k) x+\left(k^2-k-2\right)

=0

is given by

View answer and explanation

Correct option: A

2 < k < 5

Option A (2 < k < 5) is correct because it satisfies the condition f(3) < 0, which ensures that 3 lies between the roots of the equation.

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{\alpha _1},{\beta _1}

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

x

a

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

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