Let \( S \) be the set of all integral values of \( \alpha \) for w...

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Let \( S \) be the set of all integral values of \( \alpha \) for which
\( \mathrm{P} \) the sum of squares of two real roots of the quadratic

W equation \( 3 x^{2}+(\alpha-6) x+(\alpha+3)=0 \) is minimum. Then \( S \)
(1) is an empty set
(2) is a singleton
(3) contains exactly two elements
(4) contains more than two elements
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