JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

k \in \mathbf{R}

lies between the roots of

a x^2+2 b x+

c=0

, then

View answer and explanation

Correct option: B

a^2 k^2+2 a b k+a c < 0

Option B (

a^2 k^2+2 a b k+a c < 0

) is correct because if k lies between the roots, then a*f(k) < 0, where f(k) = ak² + 2bk + c. Multiplying by 'a' gives a²k² + 2abk + ac < 0.

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{\alpha _1},{\beta _1}

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x

a

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

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