CAT 2022 Slot 1 QA · Question 5

Let $a, b, c$ be non-zero real numbers such that $b^{2} < 4 a c$ , and $f (x) = a x^{2} + b x + c$ . If the set $S$ consists of al integers $m$ such that $f (m) < 0$ , then the set $S$ must necessarily be

A.
the set of all integers
B.
either the empty set or the set of all integers
C.
the empty set
D.
the set of all positive integers

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