Table of Contents
MCQs (Multiple-choice questions) for Class 11 Maths Chapter 2, “Relations and Functions,” along with their correct answers and detailed explanations. These questions follow the latest CBSE guidelines for Class 11. Solving these MCQs will help students prepare well and score higher in their exams.
MCQ Questions for Class 11 Maths: Chapter 2 Relations and Functions with answers
- What is a relation in mathematics?
- a) A set of numbers
- b) A set of ordered pairs
- c) A set of operations
- d) A set of equations
Answer: b) A set of ordered pairs
- What is the domain of a relation?
- a) The set of output values
- b) The set of input values
- c) The set of ordered pairs
- d) The set of integers
Answer: b) The set of input values
- What is the range of a relation?
- a) The set of output values
- b) The set of input values
- c) The set of ordered pairs
- d) The set of natural numbers
Answer: a) The set of output values
- Which of the following is an example of a relation?
- a) {(1, 2), (2, 3), (3, 4)}
- b) {1, 2, 3}
- c) (1, 2)
- d) x + y = 5
Answer: a) {(1, 2), (2, 3), (3, 4)}
- Which of the following is a function?
- a) {(1, 2), (2, 3), (1, 4)}
- b) {(1, 2), (2, 3), (3, 4)}
- c) {(1, 2), (2, 3), (1, 3)}
- d) {(1, 2), (2, 2), (2, 3)}
Answer: b) {(1, 2), (2, 3), (3, 4)}
- What is the vertical line test used for?
- a) To check if a relation is a function
- b) To find the domain
- c) To find the range
- d) To determine the type of function
Answer: a) To check if a relation is a function
- In a function, what does each input correspond to?
- a) One or more outputs
- b) One output only
- c) No outputs
- d) Multiple outputs
Answer: b) One output only
- What is a one-to-one function?
- a) Every output corresponds to one input
- b) Every input corresponds to multiple outputs
- c) Every input corresponds to only one output
- d) Every output corresponds to multiple inputs
Answer: a) Every output corresponds to one input
- Which of the following is NOT a function?
- a) f(x) = x + 3
- b) f(x) = x²
- c) f(x) = √x
- d) f(x) = ±√x
Answer: d) f(x) = ±√x
- What does a mapping diagram represent?
- a) A geometric shape
- b) The relationship between inputs and outputs
- c) The range of a function
- d) The graph of a function
Answer: b) The relationship between inputs and outputs
- Which of the following is an example of a many-to-one function?
- a) f(x) = x + 2
- b) f(x) = x²
- c) f(x) = 1/x
- d) f(x) = √x
Answer: b) f(x) = x²
- If a function f is defined by f(x) = x + 1, what is f(3)?
- a) 3
- b) 4
- c) 5
- d) 6
Answer: b) 4
- What is the inverse of a function?
- a) A function that performs the opposite operation
- b) A function that gives the same output for any input
- c) A function that gives random output
- d) A function that multiplies the input
Answer: a) A function that performs the opposite operation
- A function that pairs every element in the domain with exactly one element in the range is called a:
- a) Relation
- b) One-to-one function
- c) Many-to-one function
- d) Non-functional relation
Answer: b) One-to-one function
- Which of the following is a valid notation for a function?
- a) f(x) = x + 2
- b) x + 2 = f(x)
- c) f(x) = √x
- d) All of the above
Answer: d) All of the above
Class 11 Maths Chapter 2 Relations and Functions MCQs Extra Question
16. What is a surjective function?
- a) A function with only one output
- b) A function where every element in the range is mapped to by an element in the domain
- c) A function with a single input
- d) A function with multiple outputs for a single input
Answer: b) A function where every element in the range is mapped to by an element in the domain
17. Which of the following is a bijective function?
- a) A function that is both one-to-one and onto
- b) A function that is not one-to-one
- c) A function with no range
- d) A function that is one-to-one but not onto
Answer: a) A function that is both one-to-one and onto
18. Which of the following is the correct representation of a function f(x) = 2x + 1?
- a) f(1) = 3
- b) f(0) = 2
- c) f(3) = 7
- d) All of the above
Answer: d) All of the above
19. If f(x) = 3x – 2, what is f(0)?
- a) -2
- b) 2
- c) 3
- d) 0
Answer: a) -2
20. What type of relation is {(1, 2), (2, 3), (3, 4)}?
- a) One-to-one
- b) Many-to-one
- c) Many-to-many
- d) Reflexive
Answer: a) One-to-one
21. Which of the following relations is reflexive?
- a) {(1, 2), (2, 3), (3, 1)}
- b) {(1, 1), (2, 2), (3, 3)}
- c) {(1, 2), (2, 3), (3, 3)}
- d) {(1, 2), (2, 1), (3, 3)}
Answer: b) {(1, 1), (2, 2), (3, 3)}
22. What is the inverse of the function f(x) = 2x + 5?
- a) f⁻¹(x) = (x – 5) / 2
- b) f⁻¹(x) = (x + 5) / 2
- c) f⁻¹(x) = 2x – 5
- d) f⁻¹(x) = x – 2
Answer: a) f⁻¹(x) = (x – 5) / 2
23. Which of the following is a notational way to write a function?
- a) f(x)
- b) f(x) = y
- c) x = f(y)
- d) f = x + y
Answer: a) f(x)
24. What is the range of the function f(x) = x²?
- a) x ∈ R
- b) y ∈ R
- c) y ≥ 0
- d) y < 0
Answer: c) y ≥ 0
25. Which of the following is true for a function f(x) = x²?
- a) It is one-to-one
- b) It is onto
- c) It is neither one-to-one nor onto
- d) It is bijective
Answer: c) It is neither one-to-one nor onto
26. The inverse of a function exists only if the function is:
- a) One-to-one
- b) Onto
- c) Both one-to-one and onto
- d) Neither one-to-one nor onto
Answer: c) Both one-to-one and onto
27. Which of the following is a function that is both one-to-one and onto?
- a) f(x) = x²
- b) f(x) = 3x + 1
- c) f(x) = x + 2
- d) f(x) = ±√x
Answer: b) f(x) = 3x + 1
28. If f(x) = x + 3, then f⁻¹(x) is:
- a) x – 3
- b) x + 3
- c) 3x
- d) x / 3
Answer: a) x – 3
29. What does the composition of two functions f and g mean?
- a) Combining the functions to form a new function
- b) Adding the functions
- c) Subtracting the functions
- d) Multiplying the functions
Answer: a) Combining the functions to form a new function
30. If f(x) = x + 1 and g(x) = 2x, what is (f ∘ g)(x)?
- a) 2x + 1
- b) 2x + 3
- c) x + 2
- d) 2x – 1
Answer: a) 2x + 1
31. What is the domain of the function f(x) = √(x – 2)?
- a) x ≥ 0
- b) x ≥ 2
- c) x < 2
- d) x ∈ R
Answer: b) x ≥ 2
32. Which of the following is an example of a constant function?
- a) f(x) = x²
- b) f(x) = 3
- c) f(x) = 2x + 5
- d) f(x) = √x
Answer: b) f(x) = 3
33. A function f(x) = x² is:
- a) One-to-one
- b) Many-to-one
- c) Onto
- d) Bijective
Answer: b) Many-to-one
34. Which of the following types of functions is represented by f(x) = 2x + 1?
- a) Linear function
- b) Quadratic function
- c) Exponential function
- d) Constant function
Answer: a) Linear function
35. The graph of a one-to-one function passes the:
- a) Horizontal line test
- b) Vertical line test
- c) Both tests
- d) None of the tests
Answer: a) Horizontal line test
Benefits of Solving Class 11 Chapter 3 Maths MCQs
- Improves Conceptual Understanding
Solving MCQs helps you grasp key concepts better. It tests your knowledge and makes you apply the concepts in different scenarios, enhancing your understanding. - Boosts Problem-Solving Speed
With practice, solving MCQs improves your speed and accuracy in answering questions. This is particularly helpful during exams, where time management is crucial. - Identifies Knowledge Gaps
MCQs highlight areas where you might have weaknesses. Identifying these gaps allows you to focus your study efforts on improving those concepts. - Enhances Retention
When you solve multiple-choice questions, you engage in active recall, which improves memory retention. This helps in remembering formulas and concepts for longer. - Prepares for Exams
MCQs simulate exam conditions, providing a good practice environment. It helps you become familiar with the exam pattern and boosts your confidence. - Improves Analytical Thinking
MCQs challenge your critical thinking. They encourage you to analyze and evaluate the options before choosing the correct one, enhancing your analytical skills. - Covers a Wide Range of Topics
By solving MCQs, you cover a wide range of topics from Chapter 3 in Class 11 Maths. This broadens your knowledge and makes sure you’re prepared for any type of question in exams. - Reduces Exam Anxiety
The more you practice MCQs, the more confident you become in tackling questions. This reduces exam anxiety and helps you perform better under pressure.
