MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Set-C

Relations and Functions Class 12 Maths MCQs Questions with Answers
Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.
Class 12 Maths Chapter 1 Quiz
Class 12 Maths Chapter 1 MCQ Online Test
You can refer to NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
Relations and Functions Class 12 Maths MCQ online test
Q1. | Let f: [0, 1| → [0, 1| be defined by![]() |
A. Constant |
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B. 1 + x |
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C. x |
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D. None of these |
Ans: x
Q2. | Let f: |2, ∞) → R be the function defined by f(x) – x² – 4x + 5, then the range of f is |
A. R |
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B. [1, ∞) |
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C. [4, ∞) |
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D. [5, ∞) |
Ans: [1, ∞)
Q3. | Let f: N → R be the function defined by f(x) = \(\frac{2x-1}{2}\) and g: Q → R be another function defined by g (x) = x + 2. Then (g 0 f) \(\frac{3}{2}\) is |
A. 1 |
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B. 0 |
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C. \(\frac{7}{2}\) |
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D. None of these |
Ans: None of these
Q4. | Let f: R → R be defined by![]() then f(- 1) + f (2) + f (4) is |
A. 9 |
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B. 14 |
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C. 5 |
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D. None of these |
Ans: 9
Q5. | Let f : R → R be given by f (,v) = tan x. Then f-1(1) is |
A. \(\frac{π}{4}\) |
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B. {nπ + \(\frac{π}{4}\) : n ∈ Z} |
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C. does not exist |
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D. None of these |
Ans: {nπ + \(\frac{π}{4}\) : n ∈ Z}
Q6. | The relation R is defined on the set of natural numbers as {(a, b): a = 2b}. Then, R-1 is given by |
A. {(2, 1), (4, 2), (6, 3),….} |
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B. {(1, 2), (2, 4), (3, 6),….} |
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C. R-1 is not defined |
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D. None of these |
Ans: {(1, 2), (2, 4), (3, 6),….}
Q7. | The relation R = {(1,1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is |
A. Reflexive but not symmetric |
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B. Reflexive but not transitive |
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C. Symmetric and transitive |
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D. Neither symmetric nor transitive |
Ans: Reflexive but not symmetric
Q8. | Let P = {(x, y) | x² + y² = 1, x, y ∈ R]. Then, P is |
A. Reflexive |
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B. Symmetric |
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C. Transitive |
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D. Anti-symmetric |
Ans: Symmetric
Q9. | Let R be an equivalence relation on a finite set A having n elements. Then, the number of ordered pairs in R is |
A. Less than n |
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B. Greater than or equal to n |
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C. Less than or equal to n |
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D. None of these |
Ans: Greater than or equal to n
Q10. | For real numbers x and y, we write xRy ⇔ x – y + √2 is an irrational number. Then, the relational R is |
A. Reflexive |
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B. Symmetric |
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C. Transitive |
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D. None of these |
Ans: Reflexive
Q11. | Let R be a relation on the set N be defined by {(x, y) | x, y ∈ N, 2x + y = 41}. Then R is |
A. Reflexive |
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B. Symmetric |
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C. Transitive |
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D. None of these |
Ans: None of these
Q12. | Which one of the following relations on R is an equivalence relation? |
A. aR1b ⇔ |a| = |b| |
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B. aR2b ⇔ a ≥ b |
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C. aR3b ⇔ a divides b |
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D. aR4b ⇔ a < b |
Ans: aR1b ⇔ |a| = |b|
Q13. | Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is |
A. Reflexive and symmetric |
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B. Transitive and symmetric |
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C. Equivalence |
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D. Reflexive, transitive but not symmetric |
Ans: Reflexive, transitive but not symmetric
MCQ Questions for Class 12 Maths
NCERT Solution of Maths Class 12
Class 12 Maths
NCERT Solution of Maths Class 12 Chapter 1
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MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C
NCERT Solution of Maths Class 12 Chapter 2
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MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D
NCERT Solution of Maths Class 12 Chapter 3
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MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D
NCERT Solution of Maths Class 12 Chapter 4
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MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C
NCERT Solution of Maths Class 12 Chapter 5
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MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D
NCERT Solution of Maths Class 12 Chapter 6
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MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C
NCERT Solution of Maths Class 12 Chapter 7
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MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C
NCERT Solution of Maths Class 12 Chapter 8
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MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B
NCERT Solution of Maths Class 12 Chapter 9
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MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B
NCERT Solution of Maths Class 12 Chapter 10
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MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D
NCERT Solution of Maths Class 12 Chapter 11
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MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B
NCERT Solution of Maths Class 12 Chapter 12
NCERT Solution of Maths Class 12 Chapter 13
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MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B
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