multiple choice questions on relations and functions class 12

multiple choice questions on relations and functions class 12

(a) A = B (d) None of these (c) -1 For binary operation * defind on R – {1} such that a * b = \(\frac{a}{b+1}\) is (c) \(\frac{7}{2}\) (b) 10 (c) Both (a) and (b), Question 20. (c) f : R+ → R+, f(x) = \(\frac{1}{x^{3}}\) (c) 106! (c) 2n – 1 3. (c) 3 If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) = (a) 0, Question 7. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. (c) Both (a) and (b), Question 22. Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Answer: 76% average accuracy. Let * be a binary operation on set Q of rational numbers defined as a * b = \(\frac{a b}{5}\). Answer: (a) \(\frac{1}{x}\) (d) 5 (d) None of these The numbers are written within a set of parentheses and separated by a comma. (d) \(\frac{π}{2}\), Question 19. (d ) f-1(x) = \(\frac{1}{19}\) f(x), Question 43. If f : R → R such that f(x) = 3x then what type of a function is f? 1. appreciate the importance of relations in Mathematics; 2. appreciate that many mathematical relations may be represented in symbolic, tabular or In which quadrant does the following system contain a solution? (a) Reflexive and symmetric (c) Does not exist (d) 33 Class XI Chapter 2– Relations and Functions Multiple Choice Questions 1. 0.8 B. (c) Both (a) and (b), Question 16. (b) \(\frac{x-3}{2}\) (a) commutative (c) 16, Question 15. (b) \(g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}\) If you have any query regarding CBSE Class 12 Maths Relations and Functions MCQs Pdf, drop a comment below and we will get back to you at the earliest. (a) x, Question 13. (c) None one-one (c) (1 – 2x)³ Test out your knowledge of relations and functions using this interactive quiz and printable worksheet. (b) reflexive, transitive but not symmetric, Question 27. (a) 14 (a) reflexive (a) f(x) = x3 (d) 2106 Answer : We have: A = {1, 2} and B = {3, 4} (c) surjection but not injection This activity contains 10 questions. (c) bijective (b) associative If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is (a) reflexive but not symmetric (a) Onto. (d) none of these (b) f(x) = x + 2 (a) a one-one function (d) \(g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}\) 1. (a) 1 (a) one-one, Question 2. Consider the binary operation * on Q defind by a * b = a + 12b + ab for a, b ∈ Q. (a) x² – 2 2. Then Let us define a relation R in R as aRb if a ≥ b. Answer: (b) one-one onto (c) R-1 is not defiend (b) 5x + 4 (d) None of these, Question 54. (a) 0, Question 12. ∴ a – b = 3 – 7, 3 – 11, 5 – 7, 5 – 11 ⇒ a – b = – 4, – 8, – 2, – 6 Here, a – b is always an even number. (c) R- {- 1,-2, -3} (c) 23 The binary operation * defind on set R, given by a * b = \(\frac{a+b}{2}\) for all a,b ∈ R is (a) 31 Sample Questions for Relations and Functions PART A: MULTIPLE-CHOICE QUESTIONS 1. (a) \(\frac{4 x+5}{2}\) Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4. (b) onto If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f? If A = [1, 2, 3}, B = {5, 6, 7} and f: A → B is a function such that f(x) = x + 4 then what type of function is f? Then, R is (d) (0, 2) Copy and Edit. (b) {nπ + \(\frac{π}{4}\) : n ∈ Z} (d) None of these, Question 35. myCBSEguide App has more than one lakh MCQ from class 3 to 12 in almost all major subjects. (c) x = \(\frac{1}{2}\) (a) \(\frac{x+\sqrt{x^{2}-4}}{2}\), Question 52. Solved examples with detailed answer description, explanation are given and it would be easy to understand (a) f(x) = x³ Download CBSE Class 12 Mathematics Relations and Functions MCQs Set A in pdf, Relations and Functions chapter wise Multiple Choice Questions free, Question: Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b , a,b∈ T.Then R isa) equivalenceb) reflexive but not transitivec) transitive but not symmetricd) Let us define a relation R in R as aRb if a ≥ b. (a) [1, 9] (d) 5 – x, Question 41. (b) g is not one-one on R, Question 43. Answer: The inverse of the function \(y=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}\) is Mathematics. (b) \(\frac{1}{3}\) (x – 4) NCERT Class 12 Relations and Functions NCERT Solutions and books, latest worksheets and assignments, HOTs, latest syllabus, multiple choice questions (MCQs) easy to learn and understand concepts of all topics in Class 12 in Relations and Functions Maths. (d) 4, Question 22. (a) Reflexive (c) 4 (c) Both Then, R-1 is given by (b) transitive but not symmetric (c) both commutative and associative Here we have covered Important Questions on Relations and Functions for Class 11 Maths subject.. Maths Important Questions Class 11 are given below.. Short Answer Type Questions Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Total number of equivalence relations defined in the set S = {a, b, c} is (b) f(x) = x + 2, Question 32. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number. If f(x) = \(1-\frac{1}{x}\), then f(f(\(\frac{1}{x}\))) (a) commutative, Question 19. Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is Range of \(f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}\) (b) [1, ∞) Also explore over 3 similar quizzes in this category. (a) π² Answer: (d) neither one-one nor onto If f(x) = (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (b) Symmetric (c) commutative Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. (d) None of these, Question 49. Let f: [0, 1| → [0, 1| be defined by Students can refer and download Chapter 1 Relations from the given links. Here you can get Class 11 Important Questions Maths based on NCERT Text book for Class XI.Maths Class 11 Important Questions are very helpful to score high marks in board exams. (c) bijective, Question 50. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is- (d) None of these, Question 44. (b) Symmetric Question 5. Which of the following could describe the mapping above? (b) \(\frac{5}{160}\) . (b) not commutative Then R is Answer: (a) x = 1, Question 53. Then (g 0 f) \(\frac{3}{2}\) is Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Chapter 8: Multiple choice questions. A function is a relation in which each input has only one output. Which of the following functions from Z into Z are bijective? (a) Reflexive 4 years ago. Sets, Relations, Functions Questions and Answers - Mathematics Topic wise Question Bank for JEE and other engineering entrance exams Then A – B = (a) A Ç B (b) A ¢ Ç B (c) A Ç B ¢ (d) None of these . Which relation is NOT a function? (d) \(\left(\frac{x-7}{2}\right)^{1 / 3}\), Question 60. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Let g(x) = x2 – 4x – 5, then Consider the non-empty set consisting of children is a family and a relation R defined as aRb If a is brother of b. (c) bijective We hope the given NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download will help you. If f(x) = (ax2 – b)3, then the function g such that f{g(x)} = g{f(x)} is given by (b) ±2, Question 8. Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (a) \(g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)\) (d) constant function, Question 24. Let R be an equivalence relation on a finite set A having n elements. (b) 0 (a) x = 1 (a) \(\frac{3}{160}\) (a) 5 Let f : A → B be defined by \(f(x)=\frac{x-2}{x-3}\). (c) f is onto but not one-one (d) both (a) and (b), Question 18. (c) Odd (b) aR2b ⇔ a ≥ b (c) f(x) Determine the x-value of the point of intersection for the system represented by fx()= 3andgx()= 5 2 x +1. Answer: View all Sets, Relations and Functions Worksheets 1. (c) \(\frac{3}{10}\) (d) 5 – x (b) 40 (d) neither injection nor surjection Answer: RD Sharma Solutions for Class 12 Maths Chapter 1 Relations RD Sharma textbook for Class 12 is based on the latest syllabus prescribed by the CBSE that is the Central Board of Secondary Education. (d) equivalence denotes fractional part, is n} and B = {a, b}. (d) none of these The questions cover a wide range of concepts related to functions such as definition, domain, range , evaluation , composition and transformations of the graphs of functions. Students and parents … Mathematics: Relation and Function: Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems (d) None of these, Question 3. Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. Become our. Question 1 Which vitamin is required for vision in dim light? The period of sin² θ is (d) equivalence, Question 23. (d) None of these, Question 42. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is (d) None of these (c) Both (a) and (b) (c) Equivalence Then, the relational R is (a) one-one onto (a) 2x³ + 1 What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4} Let f: |2, ∞) → R be the function defined by f(x) – x² – 4x + 5, then the range of f is (d) 2, Question 24. (c) 106! (b) 1 Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is (a) 1 Sets Relations and Functions MCQ Sheet 1. So, the cartesian product of A and B is the set of all ordered pairs of elements from A and B. Answer: (d) Reflexive, transitive but not symmetric, Answer: (d) Reflexive, transitive but not symmetric. (a) 1 (c) Transitive (a) One-one As per the new pattern of examination, CBSE class 10 and 12 board exams will have multiple choice questions in all the subjects. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 12 Linear Programming. (c) 3 (d) g o f, Question 42. thadaway. The function f : R → R given by f(x) = x3 – 1 is (b) odd function This post covers marketing multiple choice questions with answers and explanation. Let R be a relation on the set N be defined by {(x, y) | x, y ∈ N, 2x + y = 41}. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. (a) \(\left(\frac{x+7}{2}\right)^{1 / 3}\) (d) Equivalence relation (a) {(2, 1), (4, 2), (6, 3),….} Answers of all questions of this sheet are given at the end. (a) aR1b ⇔ |a| = |b| (b) 0 Let f : R → R be given by f(x) = tan x. Here we have covered Important Questions on Relations and Functions for Class 12 Maths subject.. Maths Important Questions Class 12 are given below.. Short Answer Type Questions (c) [0, 2] (b) f-1(x) = -f(x) MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (a) \(g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)^{1 / 2}\) Then, the number of ordered pairs in R is (d) 29 (c) \(\frac{5 x+4}{3}\) (b) 2 (d) f(b) ⊂ A, Question 25. (d) [5, ∞), Question 45. Then R is Download CBSE Class 12 Mathematics HOTs Relations And Functions Set B in pdf, Relations and Functions High Order Thinking Skills questions and answers, Class 12 Maths HOTs - Relations And Functions Questions Database for chapter Application of Derivatives.Based on CBSE and NCERT guidelines. If you have any queries regarding Relations and Functions CBSE Class 12 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. (b) one-one into, Question 48. (a) one-one and onto (a) 106 (b) [0, 1] (b) \(\frac{4 x+7}{2}\), Question 56. 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. (c) \(\frac{1}{3}\) (x – 2)² The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is Let f : R → R be given by f (,v) = tan x. In the relation, y is a function of x, because, for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2. Answer: Answer: Yes, the Class 12 Maths Revision Notes for Relations and Functions of Chapter 1 on Vedantu are very reliable. The relation R = {(1,1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is (a) \(\frac{π}{4}\) Answer: All Sheets are with Answer Keys. These short solved questions or quizzes are provided by Gkseries. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (a) \(^{n} P_{2}\) (b) Constant function We hope the given NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download will help you. (d) both symmetric and transitive, Question 30. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Let f : N → R : f(x) = \(\frac{(2 x-1)}{2}\) and g : Q → R : g(x) = x + 2 be two functions. (a) not associative (d) f is not defined, Question 31. Answer: (a) 0 Answer: 2. (c) \(\frac{x}{x-1}\), Question 11. with variables on both sides Functions, domain and range Created with That Quiz — the site for test creation and grading in math and other subjects. Answer: What type of relation is ‘less than’ in the set of real numbers? Then, P is Also explore over 3 similar quizzes in this category. (c) R-1 is not defined (c) \(\frac{1}{2} \log _{10}(2 x-1)\) 52. Which one of the following function is not invertible? (c) equivalence, Question 25. (d) Neither symmetric nor transitive, Question 50. This contains 10 Multiple Choice Questions for JEE Test: Composition Of Functions (mcq) to study with solutions a complete question bank. Mathematics. Answer: Write the identity for *. (d) None of these, Question 6. (a) Reflexive (d) None of these (b) transitive Then, (b) 1 (d) aR4b ⇔ a < b, Question 55. Reflexive : a is not a friend of a. (c) both commutative and associative, Question 23. (c) 18 (d) both (a) and (b) (c) (fof) x = -x (b) 4 (a) 1 If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5. Answer: Then f-1 (x) is (a) \(\frac{x+\sqrt{x^{2}-4}}{2}\) (d) Even Important Questions For Class 11 Maths Chapter 2 Relations and Functions are given here based on the new weightage prescribed by CBSE.These will help the students with their examination preparation for the exams of the 2020-2021 session. (c) g is bijective on R RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. (b) 2 (d) None of these, Question 65. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Consider the function f in A = R – {\(\frac{2}{3}\)} defiend as \(f(x)=\frac{4 x+3}{6 x-4}\). (a) 8 Answer: (d) \(\frac{1}{4} \log \left(\frac{2 x}{2-x}\right)\) (c) symmetric and reflexive (A) fx x: → + 3 (B) fx x: →21+ (C) fx x: → 2 + 1 (D) fx x: →−232 3. (d) 0, Question 21. The relation R is defined on the set of natural numbers as {(a, b): a = 2b}. This set has 8 ordered pairs. (b) (- 2, ∞) . 2. Answer: It is not reflexive. Chapter 1: Planning In Sports (Important Terms) Chapter 2: Sports Nutrition - All About Balanced Diet (Q & A) (b) injection but not surjection "n/m" means that n is a factor of m, then the relation T is A. reflexive and symmetric B. transitive and symmetric (d) \(g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}\) Practice Free Sets, Relations and Functions Multiple Choice Questions for JEE-Main and Other Competitive Exams. (c) ±3 Then g o f is, Question 39. The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is (d) many one, Question 2. (a) Less than n (c) 16 (b) \(\frac{4 x+7}{2}\) If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is (c) symmetric and transitive (b) Transitive and symmetric (b) one-one but not onto (d) symmetric, transitive but not reflexive, Answer: (b) reflexive, transitive but not symmetric, Question 33. (b) an onto function Then * is Once you have completed the test, click on 'Submit Answers for Grading' to get your results. (d) None of these, Question 52. (d) None of these, Answer: (b) {nπ + \(\frac{π}{4}\) : n ∈ Z}, Question 48. Answer: Direct and Inverse Variation Solving eq. (a) 9 (b) π Answer: View Relations and Functions.B.pdf from MATH 12 at University of Memphis. (d) 5, Question 31. (a) x (a) Onto (a) 2x – 3 For Study plan details. A = {1, 2, 3} which of the following function f: A → A does not have an inverse function Let A = {1, 2}, how many binary operations can be defined on this set? Let f : R – {\(\frac{3}{5}\)} → R be defined by f(x) = \(\frac{3 x+2}{5 x-3}\). (c) B ⊂ f(a) (c) 25 (a) Commutative The maximum number of equivalence relations on the set A = {1, 2, 3} are Note:Two ordered pair X and … CBSE papers with answers and Relations and Functions for chapter 1 Relations and Functions class 12th Mathematics includes practice question papers with 10-12 questions in each test paper. (b) onto Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. (c) Transitive Then R is (b) (106)2 Let f(x) = x2 – x + 1, x ≥ \(\frac{1}{2}\), then the solution of the equation f(x) = f-1(x) is (b) reflexive but not transitive Find the identity element in the set I+ of all positive integers defined by a * b = a + b for all a, b ∈ I+. Let f: R → R be the function defined by f(x) = x³ + 5. R is a … (c) f(x) = 2x + 1 (b) \(\frac{6 x-4}{3+4 x}\) (b) {nπ + \(\frac{\pi}{4}\); n ∈ Z} Answer: Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is (c) many-one onto (a) \(\frac{20}{3}\) (b) Associative Answer: 76% average accuracy. (c) Both (a) & (b) (c) Both (a) and (b) Let * be a binary operation on Q, defined by a * b = \(\frac{3 a b}{5}\) is The identity element for the binary operation * defined on Q – {0} as a * b = \(\frac{a b}{2}\) ∀ a, b ∈ Q – {0) is Name: _ Class: _ Date: _ Relations and Functions Multiple Choice Identify the choice that best completes the statement or Download CBSE Class 12 Mathematics Relations and Functions MCQs Set A in pdf, Relations and Functions chapter wise Multiple Choice Questions free, Question: Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b , a,b∈ T.Then R isa) equivalenceb) reflexive but not transitivec) transitive but not symmetricd) (d) neither transitive nor reflexive but symmetric Answer: (d) 5, Question 26. View Business Studies Principles and Functions of Management Class 12 MCQ.docx from BUSINESS 11 at Kendriya Vidyapati Sanghatan. Class XI Chapter 2– Relations and Functions Multiple Choice Questions 1. n | m). 13569 plays. (c) (5 – x)1/3 There are around 3-5 solved test papers in each chapter. (d) [-9, -1], Question 20. Let P = {(x, y) | x² + y² = 1, x, y ∈ R]. (a) reflexive (a) 2 Concise Mathematics Class 10 ICSE Solutions 2018, MCQ Questions for Class 12 Maths with Answers, CBSE Important Extra Questions for Class 12 Sociology Chapter Wise, MCQ Questions for Class 12 Political Science Chapter 5 Contemporary South Asia with Answers, Geography Class 12 Important Questions Chapter 2 Data Processing, MCQ Questions for Class 12 Political Science Chapter 4 Alternative Centres of Power with Answers, MCQ Questions for Class 12 Political Science Chapter 3 US Hegemony in World Politics with Answers, MCQ Questions for Class 12 Political Science Chapter 2 The End of Bipolarity with Answers, Political Science Class 12 Important Questions Chapter 2 The End of Bipolarity, MCQ Questions for Class 12 Political Science Chapter 1 The Cold War Era with Answers, MCQ Questions for Class 12 Geography Chapter 12 Geographical Perspective on Selected Issues and Problems with Answers, Concise Mathematics Class 10 ICSE Solutions. Sets, Relations and Functions: Questions 1-7 of 23. (b) \((x-5)^{\frac{1}{3}}\) Edit. Find 2 * \(\frac{1}{3}\) (c) does not exist H y = 3x – 6. A × B = {(a,b) : a ∊ A, b ∊ B} Let A = {a1,a2,a3,a4} and B = {b1,b2} Then, The cartesian product of A and B will be; A × B = {a1b1, a2b1, a3b1, a4b1, a1b2, a2b2, a3b2, a4b2} Example: Let us say, X = {a,b,c} and Y = { 1,2,3} Therefore, X × Y = {a 1, a 2, a 3, b 1, b 2, b 3,c 1, c 2, c 3}. (b) f(x) = x + 2 (a) \(\frac{3+4 x}{6 x-4}\), Question 57. Participate in the Sanfoundry Certification contest to get free Certificate of Merit. (b) 120 (a) f-1(x) = f(x), Question 34. (a) range (f) ⊂ B Answers of all CBSE Class 12 Maths MCQs Multiple Choice Questions with Answers provided here with detailed solutions so that you can easily understand the logic behind each answer. (a) f-1 o g-1 In this textbook, at the end of each chapter, an exercise consisting of multiple-choice questions and summary for quick revision of concepts and formulae have been given. Question 7. In this textbook, at the end of each chapter, an exercise consisting of multiple-choice questions and summary for quick revision of concepts and formulae have been given. (b) 0 (c) [-2, 2] (d) None of these Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Let X = {-1, 0, 1}, Y = {0, 2} and a function f : X → Y defiend by y = 2x4, is (d) neither symmetric, nor transitive, Question 34. This contains 5 Multiple Choice Questions for JEE Test: Increasing And Decreasing Functions (mcq) to study with solutions a complete question bank. The number of commutative binary operation that can be defined on a set of 2 elements is Answer: (a) commutative only Answer: (b) -x If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C. then (c) 5 (c) \(g(x)=\left(a x^{2}+b\right)^{1 / 3}\) (b) g is not one-one on R (d) 0 (b) Reflexive but not transitive (b) \(-\frac{1}{x}\), Question 10. Let \(f(x)=\frac{x-1}{x+1}\), then f(f(x)) is (c) one-one but not onto (b) Greater than or equal to n x y -2 -12 0 -6 1 -3 4 6 F y = x – 10. (c) \(\left(\frac{x-2}{7}\right)^{1 / 3}\) Answer: The universal relation A x A on A is A. an equivalence relation B. anti-symmetric C. a partial ordering relation D. not symmetric and not anti-symmetric 2. (d) \(\frac{16}{3}\) (a) 1 (a) one-one onto (d) None of these, Question 7. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Answers of all CBSE Class 12 Maths MCQs Multiple Choice Questions with Answers provided here with detailed solutions so that you can easily understand the logic behind each answer. If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = \(\frac{a b}{4}\). Then, R is Then, (gof) (\(\frac{3}{2}\)) is (a) 0 (d) equivalence, Question 38. (b) {nπ + \(\frac{\pi}{4}\); n ∈ Z}, Question 35. Question 1. (a) reflexive but not symmetric 1800-212-7858 / 9372462318. If f: R → R defined by f(x) = 2x + 3 then f-1(x) = If F : R → R such that f(x) = 5x + 4 then which of the following is equal to f-1(x). Try this amazing Test On Functions And Relations! The number of subsets of a set containing n elements is (a) n (b) 2 n – 1 (c) n 2 (d) 2 n … a) Vitamin A b) Vitamin D c) Vitamin E d) Vitamin K Question 2 Which vitamin is required for calcium absorption from the small intestine? (c) [-9, 1] Let f : R → R be a function defined by \(f(x)=\frac{e^{|x|}-e^{-x}}{e^{x}+e^{-x}}\) then f(x) is Contact. (a) {(2, 1), (4, 2), (6, 3),….} Solution to Question 5: (f + g)(x) is defined as follows (f + g)(x) = f(x) + g(x) = (- 7 x - 5) + (10 x - 12) Group like terms to obtain (f + g)(x) = 3 x - 17 (b) associative f: A → B will be an into function if Answer: Students who are in Class 12 or preparing for any exam which is based on Class 12 Maths can refer NCERT Book for their preparation. Let f : R → R be the functions defined by f(x) = x3 + 5. Let function R → R is defined as f(x) = 2x³ – 1, then ‘f’ is (b) one-one into If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is Solved examples with detailed answer description, explanation are given and it would be easy to understand Students can solve NCERT Class 12 Maths Inverse Trigonometric Functions MCQs Pdf with Answers to know their preparation […] (b) ±2 (d) None of these, Question 29. The function f : R → R defined by f(x) = 3 – 4x is (a) one-one but not onto, Question 47. (d) \(\left(\frac{x-7}{2}\right)^{1 / 3}\) (a) Reflexive Question 1. then f(- 1) + f (2) + f (4) is NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. Let A = {1, 2,3,…. (b) Not onto (c) one-one, into function Answer: (a) an equivalence relation (b) \(\frac{x}{1+x^{2}}\) (a) 5x + 3 The function (fog)-1 (x) is equal to (d) f{x) = x² + 1, Question 40. (d) f-1(x) = \(\frac{1}{19}\) f(x) Answer: Then the number of surjections from A into B is (b) (2x)³ + 1 Contact us on below numbers. (a) Many-one onto (d) A ∩ B = d, Question 11. (b) 16 Share. MCQ questions for class 10 and 12. (b) Associative Then R is Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals (c) 1 (b) f(a) = B (a) 5, Question 39. (d) neither symmetric, nor transitive Question 4. Let A = {1, 2, 3, …. (a) [1, 3] (a) \(\frac{1}{x}\) Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a congruent to b ∀ a, b ∈ T. Then R is (d) \(\frac{1}{x-1}\) (b) \(\frac{x-y}{5}\) (b) \((x-5)^{\frac{1}{3}}\), Question 33. (b) 2 Sample Questions for Relations and Functions 8. Q8. (c) Less than or equal to n n | m). (a) reflexive but-not transitive Then, \(3 *\left(\frac{1}{5} * \frac{1}{2}\right)\) is equal to (b) \(\left(x-\frac{7}{2}\right)^{1 / 3}\) (d) None of these (b) only transitive Thus, users will get around 30-50 very important questions from each chapter in form of CBSE test papers with complete solution and answers. Free PDF download of Important Questions for CBSE Class 12 Maths Chapter 1 - Relations and Functions prepared by expert Maths teachers from latest edition of CBSE(NCERT) books. Join our social networks below and stay updated with latest contests, videos, internships and jobs! Answer the following questions and then press 'Submit' to get your score. Here you will find Chapter Wise NCERT MCQ Questions for Class 12 Maths with Answers PDF Free Download based on the important concepts and topics given in the textbook. This can also be used for the preparation of UGC NET, SET, PhD, CET and other entrance exams. 1. 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