Maxima and Minima is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Maxima and Minima with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Maxima and Minima questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Maxima and Minima with Solutions
1.
Let $ f(x) = |x^2 - 4x + 3| + |x^2 - 5x + 6| $. The minimum value of $ f(x) $ is:- 2
- 3
- 1
- 0
2.
The function $\sin \, x + \cos \, x$ is maximum when $x$ is equal to- $\frac{\pi}{6}$
- $\frac{\pi}{4}$
- $\frac{\pi}{3}$
- $\frac{\pi}{2}$
3.
The largest value of $2x^3 - 3x^2 - 12x + 5$ for $-2 \leq x \leq 4$ occurs at $x$ is equal to :- -4
- 4
- 1
- 0
4.
Let $a \in R$ and let $f: R \rightarrow R$ be given by $f(x)=x^{5}-5 x+a$, then- $f(x)$ has three real roots if $a>4$
- $f(x)$ has only one real roots if $a>4$
- $f(x)$ has three real roots if $a < -4$
- $f(x)$ has three real roots if $-4 < a < 4$
5.
The minimum value of $2x + 3y,$ when $xy = 6,$ is- 9
- 12
- 8
- 6
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