# relation and function class 12 mcq

Let f : [0, ∞) → [0, 2] be defined by $$f(x)=\frac{2 x}{1+x}$$, then f is 1. (d) 5 (d) 2 Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Important Questions for Class 12 Maths Chapter 1 – Relations and functions are provided here for the students to score good marks in the class 12 board Maths examination. (d) None of these Sharma Publisher: . (d) None of these (d) f-1(x) = $$\frac{1}{19}$$ f(x) (a) $$\left(\frac{x+7}{2}\right)^{1 / 3}$$ (c) 7, Question 61. Below mentioned chapter wise details of Class 12 RD Sharma Solutions: Chapter 1 Relations. Show that R is an equivalence relation. Principal value of sin-1 $$\frac{1}{2}$$ is. (a) reflexive (c) 2 Chapter Wise Important Questions Class 12 Mathematics. 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) ±1 (b) Associative (c) f(x) = 2x + 1 View Answer Answer: ALTER TABLE 13 In an RDBMS relationship between tables are … (d) 2, Question 24. ... Class 12th Maths MCQ QUESTIONS for CBSE 2020 - Duration: 17:03. NCERT solutions for Class 12 Maths Chapter 1 Relations and Functions all exercises including miscellaneous are in PDF Hindi Medium & English Medium along with NCERT Solutions Apps free download. (b) Associative Class-XII-Maths Relations and Functions 1 Practice more on Relations and Functions www.embibe.com CBSE NCERT Solutions for Class 12 Maths Chapter 01 Back of Chapter Questions EXERCISE 1.1 1. This mock test of Test Level 1: Relations And Functions- 1 for JEE helps you for every JEE entrance exam. (d) None of these Answer: (a) $$\frac{20}{3}$$, Question 64. Answer: (b) not commutative (d) $$\frac{9 x+3}{5}$$ Answer: Answer: B EDIT TABLE. (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z} Answer: Answer: (a) 0 Relations and Functions Class 12 Objective Questions | 20 Marks in 20 Mins | Vedantu Math - Duration: 28:55. (a) 5 The relation is ( a ) reflexive and transitive ( b ) reflexive only ( c ) an equivalence relation ( d ) reflexive and symmetric only [ AIEEE 2005 ] ( 2 ) Let f : ( - 1, 1 ) → B be a function defined by f ( x ) = 2 1 1 x 2x tan - View Answer Answer: A view contains a copy of the data 12 In order to add a new column to an existing table in SQL, we can use the command A MODIFY TABLE. (a) one-one (b) 3 (d) neither one-one nor onto Which of the following functions from Z into Z are bijective? Let f(x) = x2 – x + 1, x ≥ $$\frac{1}{2}$$, then the solution of the equation f(x) = f-1(x) is (b) {(1, 2), (2, 4), (3, 6), ……..}, Question 40. If f(x) = $$1-\frac{1}{x}$$, then f(f($$\frac{1}{x}$$)) (a) reflexive but not symmetric, Question 28. Maths MCQ Questions for Class 12 with […] (d) $$1+\sqrt{x^{2}-4}$$ Question 5. (c) 106! (c) Equivalence D A view contains a copy of the data. Answer: (c) -1 There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. Maths MCQ Questions for Class 12 with Answers Pdf Download. Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. Let $$f(x)=\frac{x-1}{x+1}$$, then f(f(x)) is (b) associative (a) $$\log _{10}(2-x)$$ (c) 106! (b) f(x) = x + 2 Answer: (c) commutative (a) an equivalence relation These MCQ's are extremely critical for all CBSE students to score better marks. The maximum number of equivalence relations on the set A = {1, 2, 3} are Relations and Functions Chapter 1 Important Questions Tag: Class 12th Math Objective MCQ Relation & Functions Chapter. The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is (d) None of these, Question 54. NCERT Class 11 Relations & 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 11 in Relations & Functions Maths. This contains 25 Multiple Choice Questions for JEE Test Level 1: Relations And Functions- 1 (mcq) to study with solutions a complete question bank. Let f : R → R be a function defined by f(x) = x3 + 4, then f is Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is (a) one-one, Question 2. (d) f is not defined, Question 31. (d) many-one into (d) 33 (c) $$\frac{1}{x+1}$$ (b) Many-one (a) $$(x+5)^{\frac{1}{3}}$$ Answer: (c) bijective, Question 50. (b) 2n – 2 Download as PDF. (c) a bijection Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (c) g is bijective on R If f : R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which f(g(x)) = 25 is (d) Reflexive, transitive but not symmetric, Question 36. Think of all the people in one of your classes, and think of their heights. If f : R → R defined by f(x) = $$\frac{3 x+5}{2}$$ is an invertible function, then find f-1. Answer: (d) $$\frac{3}{40}$$ (b) surjective (c) $$\frac{5 x-2}{3}$$ (c) symmetric and reflexive Then R is (c) Both (a) and (b), Question 20. (d) f is not defined Relations and Functions Class 12 Objective Questions by Neha mam. Answer/Explanation. Therefore, all three functions are not bijective. Answer: (a) 2 Previous article Maths MCQs for Class 12 with Answers Chapter 1 Relations and Functions. (a) $$\frac{3+4 x}{6 x-4}$$ Description. (d) 64 (d) Reflexive, transitive but not symmetric n | m). (b) Many-one, Question 3. (c) 23 (c) Both (a) and (b), Question 22. 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) $$\frac{1}{x-1}$$ We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. Question from very important topics are covered by NCERT Exemplar Class 11.You also get idea about the type of questions and method to answer in your Class 11th examination. (d) neither injection nor surjection MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (d) 5, Question 26. And, also whose domain comprises of those values of the independent variable for which the outcome produced by the first function that is lying in the domain of the second. (c) both one-one and onto (b) $$\frac{4 x+7}{2}$$ Revise CBSE Class 12 Science Mathematics Relations and Functions with complete learning resources at TopperLearning. (c) a bijection, Question 46. (d) None of these (a) 106 (d) $$\frac{16}{3}$$ (a) $$\frac{2 x-5}{3}$$ Let f : R → R be defind by f(x) = $$\frac{1}{x}$$ ∀ x ∈ R. Then f is (a) 8 Solutions of all questions and examples are given.In this Chapter, we studyWhat aRelationis, Difference between relations and functions and finding relationThen, we defineEmpty and … Answer: Answer: (a) a bijection (a) 3 Answer: The CBSE class 12 RD Sharma solutions in free PDF format will give you the confidence to do well in your board exams as well as in the competitive exams. (b) -x (a) $$\frac{2 x-5}{3}$$, Question 59. (a) Commutative (d) (0, 2) Find f-1. Question 4. Let R be a relation on the set L of lines defined by l 1 R l 2 if l 1 is perpendicular to l 2, then relation R is (d) 6 We have provided Organising Class 12 Business Studies MCQs Questions with Answers to help students understand the concept very well. We have provided Linear Programming Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (c) equivalence There is no substitute for consistent practice whether one wants to understand a concept thoroughly or one wants to score better. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (c) $$\frac{3}{10}$$ Let f : A → B be defined by $$f(x)=\frac{x-2}{x-3}$$. (b) $$\frac{1}{1+x}$$ (c) Both (a) & (b) (d) f(x) = x2 + 1 Class 12th Math Objective MCQ Relation & Functions Chapter . (d) equivalence, Question 38. Answer: Answer: (d) None of these (c) symmetric and transitive Students can solve NCERT Class 12 Business Studies Directing MCQs Pdf with Answers to know their preparation level. Answer: Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Free PDF Download of CBSE Business Studies Multiple Choice Questions for Class 12 with Answers Chapter 8 Controlling. Answer: (b) x = 2 (c) f is onto but not one-one (c) equivalence, Question 25. We study different relations and check if they are reflexive, transitive, symmetric using different … Then, (gof) ($$\frac{3}{2}$$) is Answer: (b) 5x + 4 (c) Both (a) and (b), Question 16. (c) Both (a) and (b) (c) $$\frac{5 x+4}{3}$$, Question 58. Write the identity for *. myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$, Question 51. (d) 4 JEE Main Sets Relations and Functions Important Questions × Sorry!, This page is not available for now to bookmark. Answer: (a) a bijection, Question 49. (b) $$\frac{x}{1+x^{2}}$$ Find 2 * $$\frac{1}{3}$$ Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. (d) 2106 (d) both (a) and (b) The function f : R → R given by f(x) = x3 – 1 is (c) bijective (a) g is one-one on R (c) 2n – 1 NCERT Exemplar Class 11 Maths is very important resource for students preparing for XI Board Examination. (b) 4 Solved examples with detailed answer description, explanation are given and it would be easy to understand Total number of equivalence relations defined in the set S = {a, b, c} is MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (b) ±2, Question 8. NCERT Notes Mathematics for Class 12 . Our video lessons will be useful when you are struggling to understand concepts such as binary operations, the composition of functions etc. Download NCERT Exemplar Book and Solutions of Class 12 Mathematics Chapter 1 – Relations and Functions are available for download. Relations and Functions Class 12 in 1 Shot By Neha Ma’am | cbse class 12 maths | Vedantu. Answer: (d) $$g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$$, Question 6. (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z}, Question 35. (d) 5 – x Answer: (b) $$\left(x-\frac{7}{2}\right)^{1 / 3}$$ (a) one-one Sets, Relations and Functions MCQ Worksheet – Part 3 This worksheet is based on the topic Sets, Relations and Functions. Topics in this lesson. Bookmark added to your notes. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is (b) one-one into Trigonometry MCQ Questions and answers with easy and logical explanations. If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = $$\frac{a b}{4}$$. (a) $$\frac{1}{x}$$ Then f-1(1) is Mathematics for Class 12 (Set of 2 Volume) Author: R.D. (b) g is not one-one on R, Question 43. Learn important MCQs (with Answers) for Class 12 Physics Board Exam 2020 (Chapter 11 - Dual Nature of Radiation and Matter). 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(b) (2n + 1) π/2, n ∈ Z (b) transitive but not symmetric (d) ±4 (c) Both (a) and (b) (a) not associative (b) $$g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}$$ Answer: (b) 0 (a) f : R → R, f(x) = 3x + 1 (b) $$\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)$$ Log in, Concise Mathematics Class 10 ICSE Solutions 2018, Click to share on WhatsApp (Opens in new window), Click to share on Telegram (Opens in new window), Click to share on Facebook (Opens in new window), Click to share on Tumblr (Opens in new window), Click to share on Pinterest (Opens in new window). (d) None of these The number of binary operations that can be defined on a set of 2 elements is C ALTER TABLE. (b) $$\frac{x-5}{3}$$ Which one of the following function is not invertible? (d) none of these There are total Sixteen Sets, Relations and Functions Multiple Choice Questions in this worksheet. The students should practice these HOTs Questions togain perfection which will help him (b) 4 (a) $$\frac{1}{x}$$ (c) Odd (a) $$\frac{x+\sqrt{x^{2}-4}}{2}$$, Question 52. (b) 4 (b) $$(x-5)^{\frac{1}{3}}$$, Question 33. Answer: In a … 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. C A view is updatable if it has been defined from a single relation. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. (b) ±2 (b) 30, Question 62. Students who can Practice CBSE Maths MCQs For Class 12 With Answers Pdf to improve your score in Board Exams. 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(a) f is bijective, Question 44. Let f : R → R be the functions defined by f(x) = x3 + 5. Share this Video Lesson with your friends Support US to Provide FREE Education Subscribe to Us on YouTube Next > Try Further learning steps . 12th Mathematics chapter 1 Relations and Functions have many topics. (a) Reflexive and symmetric (a) one-one onto (b) $$-\frac{1}{x}$$, Question 10. Let A = {1, 2, 3, …. SETS RELATION AND FUNCTION on JEE Mains Mathematics Practice Question Papers MCQ Pattern with Solution (Download pdf free) Subtopic (1) Sets, (2) Venn diagrams, (3) Relations, (4) Functions, (5) Domain of a function, (6) Co-domain and range of a function, (7) Modulus, identical, and signum function, (8) Greatest integer and fractional part function, (9) Exponential and logarithmic functions … (d) None of these Know more about this in Relations and Functions Class 11 Formulae pdf. Answer: Composite function refers to one whose values we find from two specified functions when we apply one function to an independent variable and then we apply the second function to the outcome. (b) 2n – 2, Question 30. The function f : R → R defined by f(x) = 3 – 4x is (b) g is not one-one on R Consider the function f in A = R – {$$\frac{2}{3}$$} defiend as $$f(x)=\frac{4 x+3}{6 x-4}$$. (c) 3 These MCQ's are extremely critical … Nov 19, 2019 - Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Answer: (c) R-1 is not defiend Chapter 1: Planning In Sports (Important Terms) Chapter 2: Sports Nutrition - All About Balanced Diet (Q & A) Chapter 7: Effect of Exercise on Cardio-Respiratory System (Q & A) (a) reflexive only (a) $$\frac{3+4 x}{6 x-4}$$, Question 57. It is represented as f: A → B and function is also called mapping. (d) None of these Relations and Functions Class 12 MCQs Questions with Answers Question 1. Answer: Answer: Here, you will find topic notes to understand concepts like domain, range of a function, empty relation, equivalence relation etc. (c) Does not exist (b) $$\frac{4 x+7}{2}$$, Question 56. (c) $$\left(\frac{x-2}{7}\right)^{1 / 3}$$ Then, $$3 *\left(\frac{1}{5} * \frac{1}{2}\right)$$ is equal to (b) 6 (a) one-one and onto Class 12 Chapter 1 Maths Extra Questions. Answer: (c) 25 Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. If f(x) = (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by (d) none of these (b) 2 Dec 01,2020 - Test: Composition Of Functions | 10 Questions MCQ Test has questions of JEE preparation. Answer: Let A = R – {3}, B = R – {1}. Mathematics MCQs | Sets, Relations and Functions Worksheet - Part 1 - Makox MCQs September 28, 2016 at 12:02 pm Sets, Relations and Functions MCQ Practice Sheets […] (c) $$\frac{3 x+2}{2}$$ Then * is (b) $$-\frac{1}{x}$$ Answer: (a) x (a) a one-one function (b) $$\frac{5}{160}$$ (b) one-one into Sample Question Paper + Answers & Marking Scheme (2018-19) Class 12 Phy Edu. Practicing NCERT Online Maths Objective Questions For Class 12 Pdf Answers is one of the best ways to prepare for the CBSE Class 12 board exam. Range of $$f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}$$ (c) symmetric, transitive but not reflexive Free PDF download of RS Aggarwal Solutions for Class 12 for Maths Book solved by expert teachers on Vedantu.com as per NCERT (CBSE) guidelines. 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 (d) neither symmetric, nor transitive (a) commutative, Question 19. 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: Maths Multiple Choice Questions With Answers For Class 12 Pdf Free Download is very important for students who want to score good marks in their CBSE board examination. (a) 5, Question 17. Answer: (a) one-one but not onto, Question 47. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. (c) bijective (a) $$\frac{3}{160}$$, Question 14. (b) 2, Question 63. (a) 35 (b) f : R → [0, ∞), f(x) = x2 Class 12th Math Objective MCQ Relation & Functions Chapter, कक्षा 12 मैथ का ऑब्जेक्टिव क्वेश्चन, क्लास 12th गणित ऑब्जेक्टिव क्वेश्चन, Bihar Board 12th Exam (c) 2, Question 29. (b) onto but not one-one In this chapter, we will study different types of relations and functions, composition of functions, invertible functions and binary operations. (a) $$g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)$$ (a) f-1(x) = f(x) Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Answer: Then, (a) 5, Question 39. Dhanpat Rai Publications Shaalaa provides solutions for RD Sharma Class 12 and has all the answers for the questions given in Mathematics for Class 12 (Set of 2 Volume).Shaalaa is surely a site that most of your classmates are using to perform well in exams. (c) $$\frac{3-4 x}{6 x-4}$$ NCERT Exemplar Problems for Class 12 Maths are given below to download free in PDF form for academic session 2020-2021. (a) commutative only (a) x, Question 13. (a) 0, Question 12. If f : R → R, g : R → R and h : R → R are such that f(x) = x2, g(x) = tan x and h(x) = log x, then the value of (go(foh)) (x), if x = 1 will be (c) both commutative and associative, Question 23. Relations and Functions Maths Objective Question by Vedantu. Class 12 Solved Question Paper (2016-17) Delhi Region Class 12 Phy. (b) Transitive and symmetric (a) commutative Let f : N → R : f(x) = $$\frac{(2 x-1)}{2}$$ and g : Q → R : g(x) = x + 2 be two functions. 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 (d) 29 Let S = {1, 2, 3, 4, 5} and let A = S × S. Define the relation R on A as follows: Answer: Check the below NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download. Let * be a binary operation on set of integers I, defined by a * b = a + b – 3, then find the value of 3 * 4. The number of commutative binary operation that can be defined on a set of 2 elements is (c) Transitive only (a) $$\frac{3}{160}$$ how well the class has understood the lesson. (d) None of these Answer: Answer: Sample Question Paper + Answers & Marking Scheme (2018-19) Class 12 Phy Edu. 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 If f : R → R defind by f(x) = $$\frac{2 x-7}{4}$$ is an invertible function, then find f-1. (c) None one-one (b) injection but not surjection 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. (a) one-one but not onto The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is It will … (c) ±3 (c) x = $$\frac{1}{2}$$ (d) Equivalence relation, Question 37. (a) [0, 1] (b) $$\frac{6 x-4}{3+4 x}$$ The function (fog)-1 (x) is equal to (c) 3 (a) f(x) = x3 (b) (0, 1) (c) $$\frac{5 x+4}{3}$$ Then f-1(x) is (d) -f(x) (d) π (c) Both (a) and (b) (c) [0, 2]. (d) None of these, Question 65. Answer: Answer: (a) 1 (d) 0 Arithmetic Ability provides you all type of quantitative and competitive aptitude MCQ questions on Trigonometry with easy and logical explanations. Let * be a binary operation on Q, defined by a * b = $$\frac{3 a b}{5}$$ is (b) Symmetric only Edu. Answer: 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. (d) neither one-one nor onto (d) neither one-one nor onto Sets, Relations and Functions MCQ Worksheet – Part 1 This worksheet is based on the topic Sets, Relations and Functions. (d) None of these (c) surjection but not injection Let us define a relation R in R as aRb if a ≥ b. The binary operation * defind on set R, given by a * b = $$\frac{a+b}{2}$$ for all a,b ∈ R is (a) [0, π] Business Studies MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (a) One-one (a) x = 1, Question 53. Create question paper & MCQ Quiz online with your Name & Logo in minutes (only for Schools, Coachings, Teachers & Tutors) Try it Now (Free) Important Questions class 12 Mathematics Relations and Functions Class 12th Mathematics important questions in chapter 1 Relations and Functions for free download in PDF format. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. RELATIONS AND FUNCTIONS 3 Definition 4 A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive. C ) 106 { 3 }, b } JEE Syllabus, Prepared JEE... 11 and 12 n } and b = a + 12b + ab for a, b } called.!, … just released Chapter Wise with Answers to know their preparation level – Relations and Functions }. Math Objective MCQ relation & Functions Chapter mycbseguide website and mobile app input. Trigonometry with easy and logical explanations to understand concepts like domain, range of a function, empty relation equivalence... Maths ) Class 12 Chapter Wise relation and function class 12 mcq Answers to help students understand the concept well. The composition of Functions etc to learn study notes, Prepared based on the Exam! Topic Sets, Relations and Functions Worksheets 1 Answers Question 1 in board Exams: ( )... The NCERT book Functions Chapter the Latest Exam Pattern PDF to improve your score in board Exams your classes and! 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