Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Let \( p, q, r, s \) be four real numbers such that \( p r= \) \( 2(q+s) \)
Statement-1: At least one of \( x^{2}+p x+q=0 \) and \( x^{2}+r x+s=0 \) has real roots.
Statement-2: \( x^{2}+p x+q=0 \) has real roots if and only if \( x^{2}+r x+s=0 \) has imaginary roots.
\( \mathrm{P} \)
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