If $\alpha ,\;\beta $ be the roots of the quadratic equation $a{x^2} + bx + c = 0\;\,{\rm{and}}\;k$ be a real number, then the condition so that $\alpha < k < \beta $ is given by

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

\alpha ,\;\beta

be the roots of the quadratic equation

a{x^2} + bx + c = 0\;\,\mathrm{and}\;k

be a real number, then the condition so that

\alpha < k < \beta

is given by

View answer and explanation

Correct option: D

{a^2}{k^2} + abk + ac < 0

Option D (

{a^2}{k^2} + abk + ac < 0

) is correct because it represents the condition where the quadratic function has different signs at the roots and at k.

Practice All Chapter MCQs →

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