Consider f(x) = x 2 + x Here, f(3) = 3 2 + 3 = 12 and f(-3) = (-3) 2 + x = 12 Hence, it is not one–one. (b) $$\frac{4 x+7}{2}$$ (c) f : R+ → R+, f(x) = $$\frac{1}{x^{3}}$$ (d) both (a) and (b), Question 18. (c) $$\frac{3-4 x}{6 x-4}$$ Solved examples with detailed answer description, explanation are given and it would be easy to understand (c) [0, 2] Class 12 Solved Question Paper (2016-17) Delhi Region Class 12 Phy. (b) one-one into (a) 2 Answer: n} and B = {a, b}. There are total 20 Multiple Choice Questions based on Sets, Relations and Functions in this worksheet. Bookmark added to your notes. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Answer: (d) None of these (c) symmetric and reflexive myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. (d) 10 (a) f is bijective We have provided Organising Class 12 Business Studies MCQs Questions with Answers to help students understand the concept very well. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. (d) $$g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$$, Question 6. (b) (106)2 We study different relations and check if they are reflexive, transitive, symmetric using different … (a) 8 (c) a bijection, Question 46. Let f : R → R be given by f(x) = tan x. If f(x) = $$\frac{3 x+2}{5 x-3}$$ then (fof)(x) is 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. (b) x = 2 Then R is (d) ±4 (b) f is one-one but not onto This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. It will … (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$, Question 51. Chapter 1:- Relations and Functions. (b) g is not one-one on R Answer: (b) Transitive and symmetric Answer: (a) x = 1 (d) $$\frac{3 x+2}{3}$$ (d) None of these Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. Students who can Practice CBSE Maths MCQs For Class 12 With Answers Pdf to improve your score in Board Exams. (c) f(x) = 2x + 1 Range of $$f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}$$ This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Edu. (d) f-1(x) = $$\frac{1}{19}$$ f(x) Nov 19, 2019 - Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Answer: Answer: D ALTER COLUMNS. Think of all the people in one of your classes, and think of their heights. (c) ±3 (c) Equivalence (c) 2, Question 29. A function is a relation in which each input has only one output. (c) R-1 is not defiend (d) 5 This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. Answer/Explanation. (d) equivalence Trigonometry MCQ is important for … Example 2 Let T be the set of all triangles in a plane with R a relation in T given by R = {(T 1, T 2) : T 1 is congruent to T 2}. (c) $$\frac{x}{x-1}$$ The maximum number of equivalence relations on the set A = {1, 2, 3} are 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. 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. 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). (b) f : R → [0, ∞), f(x) = x2 (d) None of these (b) one-one into, Question 48. Solved examples with detailed answer description, explanation are given and it would be easy to understand (d) Equivalence relation (b) $$g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}$$ (b) onto (c) 3 Answer: (d) neither transitive nor reflexive but symmetric (a) $$\frac{x+\sqrt{x^{2}-4}}{2}$$, Question 52. (d) 2 Then, (c) $$\frac{x}{x-1}$$, Question 11. (b) f(x) = x + 2, Question 32. (a) a bijection, Question 49. 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 Then * is (a) 35 Answer: (a) 5 Let f : A → B be defined by $$f(x)=\frac{x-2}{x-3}$$. The smallest integer function f(x) = [x] is on the set A = { 3, 6, 9, 12 }. (c) equivalence ... Class 12th Maths MCQ QUESTIONS for CBSE 2020 - Duration: 17:03. (a) 106 (c) many-one onto, Question 41. (d) (0, 2) (b) $$g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}$$ Answer: If f is an invertible function defined as f(x) = $$\frac{3 x-4}{5}$$, then f-1(x) is Answer: (b) $$\frac{x-5}{3}$$ Sets, Relations and Functions MCQ Worksheet – Part 1 This worksheet is based on the topic Sets, Relations and Functions. (a) one-one onto (b) an onto function (a) $$g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)$$ Let g(x) = x2 – 4x – 5, then (c) many-one onto Students who can Practice CBSE Class 12 Maths Multiple Choice Questions with Answers to improve your score in … Answer: (d) None of these Let f : R → R be a function defined by f(x) = x3 + 4, then f is As seen in Class XI, functions are special kind of relations. In a … (b) 2 The number of bijective functions from set A to itself when A contains 106 elements is Consider f(x) = x 3 Here, in the co-domain which is a set of integers, we cannot find pre-images of 2, 3, 4, since they are not perfect cubes. (c) symmetric, transitive but not reflexive (b) $$\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)$$ Answer: 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. Relations and Functions Class 12 Objective Questions by Neha mam. (b) 2 (b) $$\frac{1}{1+x}$$ (b) Associative (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z} MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (a) x, Question 13. (d) Reflexive, transitive but not symmetric (b) 4 (c) $$\frac{1}{2} \log _{10}(2 x-1)$$ Answer: (a) [0, 1] (a) x = 1, Question 53. Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. (b) $$-\frac{1}{x}$$, Question 10. (d) None of these, Question 42. Answer: Answer: Show that R is an equivalence relation. If f : R → R, g : R → R and h : R → R is such that f(x) = x2, g(x) = tanx and h(x) = logx, then the value of [ho(gof)](x), if x = $$\frac{\sqrt{\pi}}{2}$$ will be Previous article Maths MCQs for Class 12 with Answers Chapter 1 Relations and Functions. (b) 1 Students can solve NCERT Class 12 Business Studies Directing MCQs Pdf with Answers to know their preparation level. The relation R is defined on the set of natural numbers as {(a, b) : a = 2b}. Chapter 1 RELATIONS AND FUNCTIONS Lejeune Dirichlet (1805-1859) 2 MATHEMATICS 1.2 Types of Relations In this section, we would like to study different types of relations. (a) $$\frac{1}{x}$$ (c) one-one but not onto The binary operation * defind on set R, given by a * b = $$\frac{a+b}{2}$$ for all a,b ∈ R is Answer: Find the identity element in the set I+ of all positive integers defined by a * b = a + b for all a, b ∈ I+. Nov 19, 2019 - Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Answer: Free PDF Download of CBSE Business Studies Multiple Choice Questions for Class 12 with Answers Chapter 7 Directing. 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Get NCERT Solutions for Chapter 1 Class 12 Relation and Functions. 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. The students should practice these HOTs Questions togain perfection which will help him (d) Even 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) none of these 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. (c) 25 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. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (a) Onto (a) a bijection (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$ The domain of the function $$f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}$$ where {.} Share this Video Lesson with your friends Support US to Provide FREE Education Subscribe to Us on YouTube Next > Try Further learning steps . (a) $$\frac{20}{3}$$, Question 64. Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. Relations and Functions Class 12 MCQs Questions with Answers Question 1. Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. (a) $$\frac{1}{x}$$ (c) Both (a) and (b), Question 16. Answer: (a) f-1(x) = f(x), Question 34. Answer: (a) ±1 Let S = {1, 2, 3, 4, 5} and let A = S × S. Define the relation R on A as follows: (c) $$\frac{7}{2}$$ 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) one-one into (a) $$\log _{10}(2-x)$$ Class 12th Math Objective MCQ Relation & Functions Chapter, कक्षा 12 मैथ का ऑब्जेक्टिव क्वेश्चन, क्लास 12th गणित ऑब्जेक्टिव क्वेश्चन, Bihar Board 12th Exam (d) $$\frac{3}{40}$$ B EDIT TABLE. (d) 5 – x (b) ±2 Which of the following functions from Z into Z are bijective? Then, R is Answer: Here we have provided NCERT Exemplar Problems Solutions along with NCERT Exemplar Problems Class 11.. Here, you will find topic notes to understand concepts like domain, range of a function, empty relation, equivalence relation etc. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. (a) one-one but not onto Answer: (c) 1 (c) $$\frac{3}{10}$$ Let A = {1, 2, 3, …. (c) Both (a) and (b) (d) neither injection nor surjection 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 (d) $$\frac{9+2 x}{6 x-4}$$ (d) None of these (b) one-one but not onto Class 12th Math Objective MCQ Relation & Functions Chapter . Check the below NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download. (d) None of these (a) one-one but not onto, Question 47. (a) f is bijective, Question 44. C ALTER TABLE. Then, (gof) ($$\frac{3}{2}$$) is 12th Math Question. We hope the given Maths MCQs for Class 12 with Answers Chapter 1 Relations and Functions will help you. (b) {(1, 2), (2, 4), (3, 6), ……..} CBSE Class 12th Math 1 – Relation and Functions MCQs Let f: N - {1} → N be defined by f (n) = the highest prime factor of n. Then, the range of f is ____________. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is Sharma Publisher: . Relations and Functions Chapter 1 Important Questions Answer: 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. Let f : R → R be the functions defined by f(x) = x3 + 5. We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (a) Commutative (b) {(1, 2), (2, 4), (3, 6), ……..}, Question 40. (b) $$\frac{4 x+7}{2}$$, Question 56. (c) many-one onto The function f : R → R given by f(x) = x3 – 1 is (a) 3, Question 9. (d) $$\left(\frac{x-7}{2}\right)^{1 / 3}$$ Answer: (d) $$\left(\frac{x-7}{2}\right)^{1 / 3}$$, Question 60. (a) not associative The first chapter of class 12th is about Relations, what are these relations about? (b) Many-one, Question 3. (a) $$\frac{20}{3}$$ (a) Reflexive and symmetric Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. A "relation" is just a relationship between sets of information. (c) equivalence, Question 25. Let * be a binary operation on Q, defined by a * b = $$\frac{3 a b}{5}$$ is Topics in this lesson. (b) Symmetric only 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. (c) Transitive only (d) None of these (b) 0 MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (b) $$(x-5)^{\frac{1}{3}}$$ Let f(x) = x2 and g(x) = sin x for all x Є R. Then the set of all x satisfying (f o g o g o f)(x) = (g o g o … Consider the binary operation * on Q defind by a * b = a + 12b + ab for a, b ∈ Q. Answer: Relations and Functions Maths Objective Question by Vedantu. (c) bijective Answer: Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Answer: 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. (b) associative Business Studies MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (a) an equivalence relation (b) symmetric Students can solve NCERT Class 12 Business Studies Controlling MCQs Pdf with Answers to know their preparation level. (c) $$\left(\frac{x-2}{7}\right)^{1 / 3}$$ Business Studies MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (a) f(x) = x3 (a) one-one onto (b) g is not one-one on R, Question 43. Let us define a relation R in R as aRb if a ≥ b. (d) neither one-one nor onto 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. (a, b) R (c, d) iff ad = cb. (d) 6 Then f-1(1) is (d) Reflexive, transitive but not symmetric, Question 36. Answers of all questions of this sheet are given at the end. (a) a one-one function Then (c) -1 (a) $$\frac{3+4 x}{6 x-4}$$, Question 57. (c) a bijection (d) 4 Answer: Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Free Download is very important for students who want to score good marks in their CBSE board examination. (d) 2, Question 24. Let X = {-1, 0, 1}, Y = {0, 2} and a function f : X → Y defiend by y = 2x4, is All chapter wise RS Aggarwal Class 12 Exercise Questions with Solutions to help you to revise the complete Syllabus … D A view contains a copy of the data. (a) reflexive (d) $$\frac{x-2}{3}$$ Find f-1. (d) equivalence, Question 38. If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = $$\frac{a b}{4}$$. (c) $$g(x)=\left(a x^{2}+b\right)^{1 / 3}$$ (b) Associative Principal value of sin-1 $$\frac{1}{2}$$ is. denotes fractional part, is Answer: The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. (a) 5, Question 17. Let f : R – {$$\frac{3}{5}$$} → R be defined by f(x) = $$\frac{3 x+2}{5 x-3}$$. Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (d) 2106 NCERT Exemplar Class 11 Maths is very important resource for students preparing for XI Board Examination. (d) None of these (c) 2n – 1 Question 1. (c) $$g(x)=\left(a x^{2}+b\right)^{1 / 3}$$ (a) reflexive but not symmetric (c) symmetric and transitive 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. Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is Question 5. 25 Questions MCQ Test Mathematics (Maths) Class 11 | Test Level 1: Relations And Functions- 1 . Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. C A view is updatable if it has been defined from a single relation. (b) $$\frac{6 x-4}{3+4 x}$$ (d) None of these Download NCERT Exemplar Book and Solutions of Class 12 Mathematics Chapter 1 – Relations and Functions are available for download. (b) 1 (a) 1 Let A and B be .two non-empty sets, then a function f from set A to set B is a rule whichassociates each element of A to a unique element of B. Relation and function By Neha Agrawal Mam. 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. Check the below NCERT MCQ Questions for Class 12 Business Studies Chapter 5 Organising with Answers Pdf free download. Revise CBSE Class 12 Science Mathematics Relations and Functions with complete learning resources at TopperLearning. Consider the function f in A = R – {$$\frac{2}{3}$$} defiend as $$f(x)=\frac{4 x+3}{6 x-4}$$. (c) Both (a) and (b) Question 4. 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