MHT CET PYQs for Relations and functions with Solutions: Practice MHT CET Previous Year Questions

Educational Content Expert | Updated on - Nov 26, 2025

Relations and functions 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 Relations and functions with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Relations and functions questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Relations and functions with Solutions

1.
What is the acute angle between the lines represented by the equations $y - \sqrt{3} x - 5 = 0$ and $\sqrt{3} y - x + 6 = 0 ?$
- (A) $30^{\circ}$
- (B) $45^{\circ}$
- (C) $60^{\circ}$
- (D) $75^{\circ}$
View Solution
2.
Maximize $Z = 4 x + 9 y$ , subject to the constralnts $x = 0$ , y $= 0, x + 5 y \leq 200, 2 x + 3 y \leq 134$ .
- (A) 359
- (B) 856
- (C) 382
- (D) 756
View Solution
3.
If $A = [\begin{array}{cc} \cos α & \sin α \\ - \sin α & \cos α \end{array}]$ then $A A^{T}$ is equal to: (where $A^{T}$ is the transpose of $A)$
- (A) Null matrix
- (B) Identify matrix
- (C) A
- (D) -A
View Solution
4.
Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan^-1x + tan^-16x = $\frac{\pi}{4}$}, then A is...
- an empty set
- a singleton set
- consists of two elements
- contains more than two elements
View Solution
5.
$f(x) = x^2 + 1$, $g(x) = \frac{1}{x}$. Find $f(g(g(f(x))))$ at $x = 1$
- 4
- 1
- 5
- 3
View Solution
6.
If $[\begin{array}{cc} 2 x + y & 4 x \\ 5 x - 7 & 4 x \end{array}] = [\begin{array}{cc} 7 & 7 y - 13 \\ y & x + 6 \end{array}]$ , then $x + y =$
- (A) 3
- (B) 4
- (C) 5
- (D) 6
View Solution
7.
Find the area between the curve $y = x^{2}$ and $y = x$ .
- (A) $\frac{5}{6}$ sq. unit
- (B) $\frac{1}{3}$ sq. unit
- (C) $\frac{1}{2}$ sq. unit
- (D) $\frac{1}{6}$ sq. unit
View Solution
8.
If $\int \frac{x^{2} + 1}{x (x + 1)^{2}} d x = A \ln | x | + \frac{B}{1 + x} + C$ , where C is the constant of integration, then $A + B$ $=$
- (A) 5
- (B) 4
- (C) 3
- (D) 2
View Solution

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MHT CET PYQs for Relations and functions with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Relations and functions with Solutions

1.
What is the acute angle between the lines represented by the equations $y - \sqrt{3} x - 5 = 0$ and $\sqrt{3} y - x + 6 = 0 ?$

2.
Maximize $Z = 4 x + 9 y$ , subject to the constralnts $x = 0$ , y $= 0, x + 5 y \leq 200, 2 x + 3 y \leq 134$ .

3.
If $A = [\begin{array}{cc} \cos α & \sin α \\ - \sin α & \cos α \end{array}]$ then $A A^{T}$ is equal to: (where $A^{T}$ is the transpose of $A)$

4.
Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan^-1x + tan^-16x = \(\frac{\pi}{4}\)}, then A is...

5.
\(f(x) = x^2 + 1\), \(g(x) = \frac{1}{x}\). Find \(f(g(g(f(x))))\) at \(x = 1\)

6.
If $[\begin{array}{cc} 2 x + y & 4 x \\ 5 x - 7 & 4 x \end{array}] = [\begin{array}{cc} 7 & 7 y - 13 \\ y & x + 6 \end{array}]$ , then $x + y =$

7.
Find the area between the curve $y = x^{2}$ and $y = x$ .

8.
If $\int \frac{x^{2} + 1}{x (x + 1)^{2}} d x = A \ln | x | + \frac{B}{1 + x} + C$ , where C is the constant of integration, then $A + B$ $=$

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MHT CET PYQs for Relations and functions with Solutions

1.What is the acute angle between the lines represented by the equations y−3x−5=0 and 3y−x+6=0?

2.Maximize Z=4x+9y, subject to the constralnts x=0, y =0,x+5y≤200,2x+3y≤134.

3.If A=[cos⁡αsin⁡α−sin⁡αcos⁡α] then AAT is equal to: (where AT is the transpose of A)

4.Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan-1x + tan-16x = \(\frac{\pi}{4}\)}, then A is...

5.\(f(x) = x^2 + 1\), \(g(x) = \frac{1}{x}\). Find \(f(g(g(f(x))))\) at \(x = 1\)

6.If [2x+y4x5x−74x]=[77y−13yx+6], then x+y=

7.Find the area between the curve y=x2 and y=x.

8.If ∫x2+1x(x+1)2dx=Aln⁡|x|+B1+x+C, where C is the constant of integration, then A+B =

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1.
What is the acute angle between the lines represented by the equations $y - \sqrt{3} x - 5 = 0$ and $\sqrt{3} y - x + 6 = 0 ?$

2.
Maximize $Z = 4 x + 9 y$ , subject to the constralnts $x = 0$ , y $= 0, x + 5 y \leq 200, 2 x + 3 y \leq 134$ .

3.
If $A = [\begin{array}{cc} \cos α & \sin α \\ - \sin α & \cos α \end{array}]$ then $A A^{T}$ is equal to: (where $A^{T}$ is the transpose of $A)$

4.
Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan^-1x + tan^-16x = \(\frac{\pi}{4}\)}, then A is...

5.
\(f(x) = x^2 + 1\), \(g(x) = \frac{1}{x}\). Find \(f(g(g(f(x))))\) at \(x = 1\)

6.
If $[\begin{array}{cc} 2 x + y & 4 x \\ 5 x - 7 & 4 x \end{array}] = [\begin{array}{cc} 7 & 7 y - 13 \\ y & x + 6 \end{array}]$ , then $x + y =$

7.
Find the area between the curve $y = x^{2}$ and $y = x$ .

8.
If $\int \frac{x^{2} + 1}{x (x + 1)^{2}} d x = A \ln | x | + \frac{B}{1 + x} + C$ , where C is the constant of integration, then $A + B$ $=$