CUET Maths Relation and Function Questions and Answers PDF

Overview: CUET Maths Relation and Function Questions and Answers PDF 2026 will help you to understand the most important topics like types of relations, functions, domain, range, and binary operations. It includes solved PYQs and concept-based examples to make CUET Maths preparation easy and effective for every student.

Relation and Function CUET Maths Questions are an important part of the CUET Maths 2026 exam. This topic checks how well you understand the connection between sets, numbers, and functions. The CUET Maths Relation and Function Questions and Answers PDF 2026 will give you detailed notes, solved PYQs, and clear examples based on the latest CUET 2026 syllabus.

With simple explanations and solved exercises, you can easily build a strong base for other maths topics too. Whether you’re a beginner or revising, with the help of this PDF, you can prepare smartly and score high in CUET Maths 2026.

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What Are CUET Maths Relation and Function Questions?

Maths Relation and Function Questions are an important part of the CUET exam. These questions check how well you understand how numbers, sets, and values are linked or connected. To do well in this part, you should learn the main ideas, solve many practice questions, and revise from short notes regularly.

If you are preparing for CUET Maths, studying CUET Maths Relation and Function solved questions will help you learn faster. These questions make it easy to see how problems are asked in the exam and how to solve them step by step.

Why CUET Maths Relation and Function Questions Are Important?

Relations and functions form the base of many advanced Maths topics like algebra, calculus, and vectors. Most CUET papers include 2 to 4 questions from this topic every year. Practicing CUET Maths Relation and Function Solved Questions helps you:

• Understand how questions are formed.
• Improve speed and accuracy.
• Learn the correct method of solving step-by-step.
• Build strong confidence for the final exam.

When you study from the CUET Maths Relation and Function Questions PDF, you can revise anytime, even without the internet. It is easy to print and keep as your quick revision book.

Download CUET Relation and Function Questions with Answers PDF

The CUET Maths Relation and Function Questions and Answers PDF 2026 includes everything you need for complete exam preparation. Inside this PDF, you can find:

• Complete theory notes on relations, functions, domain, range, and binary operations.
• Solved examples and formulas with step-by-step explanations.
• Important CUET PYQs (Previous Year Questions) with detailed answers.
• MCQs, assertion-reason, and true/false questions for practice.
• Short and long subjective questions for conceptual understanding.
• Homework and revision exercises with detailed solutions.
• Answer key and solutions section to help you cross-check your responses easily.

This PDF acts as a one-stop solution for CUET Maths Relation and Function Solved Questions, helping students revise quickly and confidently before the exam.

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CUET Mathematics Relation and Function Questions with Answers

Q1. If A = {1, 2, 3} and B = {x, y}, then how many different relations can be formed from A to B?
(A) 4
(B) 8
(C) 16
(D) 64
Answer: (C) 16

Explanation:
There are 3 × 2 = 6 possible ordered pairs, and each can be part of a relation or not.
So, total relations = 2⁶ = 16.

Q2. Find the domain of the function f(x) = √(x – 3).
(A) x ∈ ℝ
(B) x ≥ 3
(C) x ≤ 3
(D) x ≠ 3
Answer: (B) x ≥ 3

Explanation:
The square root is defined only when the value inside it is non-negative.
Hence, x – 3 ≥ 0 ⇒ x ≥ 3.

Q3. For f = {(1, 2), (2, 3), (3, 4)}, what is the range of f?
(A) {1, 2, 3}
(B) {2, 3, 4}
(C) {1, 3, 4}
(D) {2, 4}
Answer: (B) {2, 3, 4}

Explanation:
The range is made up of all the second elements of the ordered pairs.
Thus, range is = {2, 3, 4}.

Q4. If f(x) = 2x + 3 and g(x) = x², find (f ∘ g)(x).
(A) 2x² + 3
(B) 2x + 3²
(C) 2x + 3x²
(D) 2x³ + 3
Answer: (A) 2x² + 3

Explanation:
(f ∘ g)(x) = f(g(x)) = f(x²) = 2(x²) + 3 = 2x² + 3.

Q5. Which of the following functions is one-one injective?
(A) f(x) = x², x ∈ R
(B) f(x) = x³
(C) f(x) = |x|
(D) f(x) = sin x

Answer: (B) f(x) = x³

Explanation:
For each real number x, x³ gives a unique value.
It passes the horizontal line test, so it’s one-one.

Q6. How many equivalence relations can be defined on the set {1, 2, 3}?
(A) 3
(B) 4
(C) 5
(D) 6
Answer: (C) 5

Explanation:
A set with three elements can have 5 distinct equivalence relations, based on its possible partitions.

Q7. Let A = {1, 2, 3, 4} and R = {(a, b): a divides b}. Which of the following is true about R?
(A) Reflexive only.
(B) Symmetric only.
(C) Reflexive & Transitive.
(D) Symmetric & Transitive.

Answer: (C) Reflexive & Transitive.

Explanation:
Since every element divides itself & divisibility passes through (if a divides b and b divides c ⇒ a divides c), R is both reflexive and transitive.

Q8. (Short Answer)

Show that the relation R on set A = {1, 2, 3, 4, 5} given by R = {(a, b): a – b is even} is an equivalence relation.

Solution:

Reflexive: a – a = 0 (even)

Symmetric: if a – b is even, then b – a is also even

Transitive: if (a – b) & (b – c) are even, then (a – c) is even
Thus, R satisfies all three conditions and is an equivalence relation.

Q9. (Short Answer)

Find the domain & range of the function f(x) = 1/(x – 3).

Solution:
For the function to exist, x – 3 ≠ 0 ⇒ x ≠ 3.
So, Domain = ℝ – {3} and Range = ℝ – {0},
because the denominator can never make f(x) equal to zero.

Q10. (Short Answer)

If f(x) = 3x – 4, find its inverse function f⁻¹(x).

Solution:
Let y = 3x – 4
Then, swapping x & y gives x = (y + 4)/3
Hence, f⁻¹(x) = (x + 4)/3.
The inverse is found by switching variables and solving for y.

Features of CUET Relations and Functions Questions with Answers

The CUET Maths Relations and Functions questions with answers are very helpful for students during exam time. These questions are made to save your time and help you remember all the important CUET maths topics quickly. Here are some simple features:

• The questions cover all the details with clear solutions and explanations.
• They are written by expert teachers who understand CUET Maths very well.
• The questions are given in simple language so every student can understand easily.
• Each topic, formula, and theorem is explained in detail with easy examples.
• These questions will help you to avoid confusion and make learning simple and clear.
• You can score higher marks in CUET Maths if you read and revise these questions regularly.

If you want to download and practice anytime, you can use the CUET Maths Relation and Function Questions PDF. These PDF notes are simple, short, and made for quick revision.

Benefits of Maths Relation and Function Questions

Using CUET Maths Relations and Functions questions gives many benefits while preparing for the CUET exam. These notes are great for creating a solid CUET study plan and for helping students revise quickly.

Here are some key benefits in easy words:

• They help you stay focused during study and exams.
• You can understand topics faster and remember better because everything is short and simple.
• The notes help you memorize every detail of the topic easily.
• They improve your accuracy while solving questions because each formula is clearly explained.
• The notes give you a clear idea of what questions can come in the CUET exam.
• They make your study well-organized, saving your time before the test.
• The notes are to the point, so you only read what’s really needed for the exam.

When you revise from these, you can also practice using the CUET Maths Relation and Function Questions and Answers PDF. It gives you solved examples and answers, helping you understand how to write the correct solution in exams.

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Preparation Tips for CUET Maths Relations and Functions Questions

To do well in CUET Maths, you need to follow a good study plan. Here are some easy preparation tips for beginners:

1. Know the exam pattern: Understand how many questions come from each topic.
2. Read the full syllabus: Go through all the Maths chapters, especially Relations and Functions.
3. Make a study plan: Plan what to study each day and include time for revision.
4. Make a list of good colleges: This helps you stay motivated about your goal.
5. Read Maths-based newspapers or magazines: This keeps your mind active and helps with problem-solving.
6. Revise CUET Maths Relation and Function Notes often. These are already given on many helpful websites.
7. Take CUET Mock Tests: Practice CUET mock tests regularly to improve speed and confidence.
8. Solve Previous Year Questions (PYQs): Try CUET Maths Relation and Function Questions PYQ to understand what types of questions appear again and again.
9. Download PDFs: You can use the Maths Relation and Function Questions and Answers PDF to practice offline.
10. Revise daily: Always revise the formulas and examples before sleeping to remember better.

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Key Takeaways

The CUET Maths Relation and Function Questions and Answers PDF 2026 gives students complete clarity on one of the most important CUET Maths chapters. It will help you to understand each concept through solved examples, detailed notes, and PYQs. Regular revision of these notes ensures better accuracy and confidence in the exam.

• Practice from the CUET Maths Notes 2026 to strengthen fundamentals.
• Solve CUET Maths Books and PYQs for advanced-level preparation.
• Download and revise from the CUET Maths Relation and Function Questions PDF for quick learning.