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

Updated 3+ months ago

Relations and functions is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.

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

VITEEE PYQs for Relations and functions with Solutions

1.
If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is
- $[-1,1]$
- $ [ 1, \infty ] $
- $ (- \infty , - 1 ] $
- $ (- \infty , - 1 ] \cup [1, \infty) $
View Solution
2.
If $N$ is a set of natural numbers, then under binary operation $a ?b =a + b, (N, ?)$ is
- quasi-group
- semi-group
- monoid
- group
View Solution
3.
If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to
- -7
- -3
- 17
- 13
View Solution
4.
A and B are independent events of a random experiment if and only if:
- $ P(A | B) \neq P(A \cap B) $
- $ P(A | B) = P(B | A) $
- $ P(A | B) \neq P(A | B^c) $
- $ P(A | B) = P(A | B^c) $
View Solution
5.
Domain of the function $f (x) = \log_x \; \cos \; x$, is
- $\left( - \frac{\pi}{2} , \frac{\pi}{2}\right) - \left\{1\right\} $
- $\left[ - \frac{\pi}{2} , \frac{\pi}{2}\right] - \left\{1\right\} $
- $\left( - \frac{\pi}{2} , \frac{\pi}{2}\right) $
- $None\, of\, these$
View Solution
6.
If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is
- $\frac{1}{2} (e^x + e^{-x})$
- $\frac{1}{2} (e^x - e^{-x})$
- $e^x - e^{\frac{-x}{2}}$
- $e^x + e^{\frac{-x}{2}}$
View Solution

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VITEEE PYQs for Relations and functions with Solutions

1.If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

2.If $N$ is a set of natural numbers, then under binary operation $a ?b =a + b, (N, ?)$ is

3.If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

4.A and B are independent events of a random experiment if and only if:

5.Domain of the function $f (x) = \log_x \; \cos \; x$, is

6.If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is

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1.
If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

2.
If $N$ is a set of natural numbers, then under binary operation $a ?b =a + b, (N, ?)$ is

3.
If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

4.
A and B are independent events of a random experiment if and only if:

5.
Domain of the function $f (x) = \log_x \; \cos \; x$, is

6.
If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is