MHT CET PYQs for Maxima and Minima with Solutions: Practice MHT CET Previous Year Questions

Educational Content Expert | Updated on - Nov 26, 2025

Maxima and Minima is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Maxima and Minima with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Maxima and Minima questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Maxima and Minima with Solutions

1.
Define $ f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} $. If f(x) is differentiable at x=1, then b−c is equal to
- $ -2 $
- $ 0 $
- $ 1 $
- $ 2 $
View Solution
2.
Find the approximate value of $f (3.01)$ , where $f (x) = 3 x^{2} + 3$ .
- (A) 30.18
- (B) 30.018
- (C) 30.28
- (D) 30.08
View Solution
3.
Order of $[\begin{array}{lll} 2 & 7 & 4 \\ 3 & 1 & 0 \end{array}] [\begin{array}{l} 5 \\ 4 \\ 3 \end{array}]$ is:
- (A) $3 \times 1$
- (B) $2 \times 1$
- (C) $2 \times 3$
- (D) $3 \times 3$
View Solution
4.
Calculate the area under the curve $y = 2 \sqrt{x}$ and included between the lines $x = 0, x = 4$ .
- (A) $\frac{32}{5}$
- (B) $\frac{32}{3}$
- (C) $\frac{31}{2}$
- (D) $\frac{3}{2}$
View Solution
5.
The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is
- 12
- 11.5
- 10
- 17.33
View Solution
6.
The integrating factor of the differential equation $2 y \frac{d x}{d y} + x = 5 y^{2}$ is, $(y \neq 0)$ :
- (A) $\sqrt{y}$
- (B) $y^{2}$
- (C) $y$
- (D) $\frac{1}{\sqrt{y}}$
View Solution
7.
The maximum value of the function $ f(x) = -2x^2 + 4x + 1 $ occurs at:
- $ x = 1 $
- $ x = -1 $
- $ x = 0 $
- $ x = 2 $
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MHT CET PYQs for Maxima and Minima with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Maxima and Minima with Solutions

1.
Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to

2.
Find the approximate value of $f (3.01)$ , where $f (x) = 3 x^{2} + 3$ .

3.
Order of $[\begin{array}{lll} 2 & 7 & 4 \\ 3 & 1 & 0 \end{array}] [\begin{array}{l} 5 \\ 4 \\ 3 \end{array}]$ is:

4.
Calculate the area under the curve $y = 2 \sqrt{x}$ and included between the lines $x = 0, x = 4$ .

5.
The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is

6.
The integrating factor of the differential equation $2 y \frac{d x}{d y} + x = 5 y^{2}$ is, $(y \neq 0)$ :

7.
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:

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MHT CET PYQs for Maxima and Minima with Solutions

1.Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to

2.Find the approximate value of f(3.01), where f(x)=3x2+3.

3.Order of [274310][543] is:

4.Calculate the area under the curve y=2x and included between the lines x=0,x=4.

5.The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is

6.The integrating factor of the differential equation 2ydxdy+x=5y2 is, (y≠0):

7.The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:

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1.
Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to

2.
Find the approximate value of $f (3.01)$ , where $f (x) = 3 x^{2} + 3$ .

3.
Order of $[\begin{array}{lll} 2 & 7 & 4 \\ 3 & 1 & 0 \end{array}] [\begin{array}{l} 5 \\ 4 \\ 3 \end{array}]$ is:

4.
Calculate the area under the curve $y = 2 \sqrt{x}$ and included between the lines $x = 0, x = 4$ .

5.
The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is

6.
The integrating factor of the differential equation $2 y \frac{d x}{d y} + x = 5 y^{2}$ is, $(y \neq 0)$ :

7.
The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at: