JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Hard

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Analyzing +4 | -1

\lambda \in R

is such that the sum of the cubes of the roots of the equation,

x^{2}+(2-\lambda) x+(10-\lambda)=0

is minimum, then the magnitude of the difference of the roots of this equation is

View answer and explanation

Correct option: B

2 \sqrt{5}

Option B (

2 \sqrt{5}

) is correct because the magnitude of the difference of the roots is calculated by minimizing the sum of the cubes of the roots.

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