CAT 2022 Set-1 | Quantitative Aptitude | Question: 13

Question

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 all integers $m$ such that $f(m)<0$, then the set $S$ must necessarily be

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