The numbers of pairs (a, b) of real numbers, such that whenever … is a root of the equation x² + ax + b = 0, …² … 2 is also a root of this equation, is :

Option A. Consider the equation x² + ax + b = 0

Quadratic Equation and Inequalities

JEE Main 2021 · 1 Sep, Evening shift · Q5098

MathematicsHard129×since 2002Q5098

The numbers of pairs (a, b) of real numbers, such that whenever

\alpha

is a root of the equation x² + ax + b = 0,

\alpha

-

2 is also a root of this equation, is :

JEE Main 2021 · 1 Sep, Evening shift · Q5098

MathematicsHard129×since 2002Q5098

The numbers of pairs (a, b) of real numbers, such that whenever

\alpha

is a root of the equation x² + ax + b = 0,

\alpha

-

2 is also a root of this equation, is :