If … … R is such that the sum of the cubes of the roots of the equation, x² + (2 … …) x + (10 … …) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :

Option B. Let …, … are the roots of the equation,

Quadratic Equation and Inequalities

JEE Main 2018 · 15 Apr, Morning shift · Q5131

MathematicsHard129×since 2002Q5131

\lambda

\in

R is such that the sum of the cubes of the roots of the equation, x² + (2

-

\lambda

) x + (10

-

\lambda

) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :

JEE Main 2018 · 15 Apr, Morning shift · Q5131

MathematicsHard129×since 2002Q5131

\lambda

\in

R is such that the sum of the cubes of the roots of the equation, x² + (2

-

\lambda

) x + (10

-

\lambda

) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :