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JEE Math Practice Question

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 :

  1. A.is an empty set
  2. B.is a singleton
  3. C.contains exactly two elements
  4. D.contains more than two elements

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