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IPMAT Indore 2025 · Question 35 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 35

Let $f (x) = a^{2} x^{2} + 2 b x + c$ where $a \neq = 0$ , $b, c$ are real numbers and $x$ is a real variable. Then

A $f (x)$ has a maximum and a minimum 2.
B $f (x)$ has no minimum and no maximum
C $f (x)$ has a minimum and no maximum
D $f (x)$ has a maximum and no minimum

Reveal answer

Correct answer

C.

f (x)

has a minimum and no maximum

Reveal solution

Coefficient of $x^{2}$ is $a^{2} > 0$ , so the parabola opens upward. It has a minimum and no maximum.

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