Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 30 Jun, Morning shift · Q5102

JEE Main 202230 Jun, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let S be the set of all integral values of

\alpha

for which the sum of squares of two real roots of the quadratic equation

3{x^2} + (\alpha - 6)x + (\alpha + 3) = 0

is minimum. Then S :

JEE Main 2022 · 30 Jun, Morning shift · Q5102

JEE Main 202230 Jun, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let S be the set of all integral values of

\alpha

for which the sum of squares of two real roots of the quadratic equation

3{x^2} + (\alpha - 6)x + (\alpha + 3) = 0

is minimum. Then S :

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