(d) None of these Then R is If f is an invertible function defined as f(x) = $$\frac{3 x-4}{5}$$, then f-1(x) is (b) $$-\frac{1}{x}$$, Question 10. (d) neither one-one nor onto (d) 6 The first chapter of class 12th is about Relations, what are these relations about? 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. (b) associative 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. If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5. Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. It will … (c) bijective (d) none of these (b) 3! Let R be the relation “is congruent to” on the set of all triangles in a plane is Free PDF Download of CBSE Business Studies Multiple Choice Questions for Class 12 with Answers Chapter 7 Directing. (c) Does not exist (a) $$\frac{x+\sqrt{x^{2}-4}}{2}$$, Question 52. Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. (d) $$\frac{1}{4} \log \left(\frac{2 x}{2-x}\right)$$ (b) 2n – 2, Question 30. (c) symmetric, transitive but not reflexive Answer: D A view contains a copy of the data. Our video lessons will be useful when you are struggling to understand concepts such as binary operations, the composition of functions etc. (b) (106)2 (c) $$\frac{3}{10}$$ (d) None of these 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 ____________. Answer: (a) [0, π] (c) None one-one (b) one-one into 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. (c) 7, Question 61. (c) onto but not one-one Answer: Answer: 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. (b) Symmetric only 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 … (d) 64 (c) 23 (c) $$g(x)=\left(a x^{2}+b\right)^{1 / 3}$$ (d) 10 The inverse of the function $$y=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$$ is (a) 1 Then, $$3 *\left(\frac{1}{5} * \frac{1}{2}\right)$$ is equal to (a) 8 Answer: Answer: The number of bijective functions from set A to itself when A contains 106 elements is (c) Both (a) and (b), Question 22. C ALTER TABLE. Write the identity for *. 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. (d) None of these Consider the binary operation * on Q defind by a * b = a + 12b + ab for a, b ∈ Q. (d) Equivalence relation, Question 37. 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. For binary operation * defind on R – {1} such that a * b = $$\frac{a}{b+1}$$ is (c) 2n – 1 There are total Sixteen Sets, Relations and Functions Multiple Choice Questions in this worksheet. JEE Main Sets Relations and Functions Important Questions × Sorry!, This page is not available for now to bookmark. (a) 3, Question 9. Class 12th Math Objective MCQ Relation & Functions Chapter, कक्षा 12 मैथ का ऑब्जेक्टिव क्वेश्चन, क्लास 12th गणित ऑब्जेक्टिव क्वेश्चन, Bihar Board 12th Exam Answer: (b) f : R → [0, ∞), f(x) = x2 Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. (a) $$\frac{3+4 x}{6 x-4}$$, Question 57. (a) $$\frac{3}{160}$$, Question 14. Answer: (d) None of these (a) commutative Question 4. (d) ±4 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. MCQ Questions for Class 12 Business Studies with Answers were prepared based on the latest exam pattern. (d) 33 MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. 12th Math Question. This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Which of the following functions from Z into Z are bijective? (c) 18 Sample Question Paper + Answers & Marking Scheme (2018-19) Class 12 Phy Edu. Maths MCQ Questions for Class 12 with […] 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. (c) one-one but not onto, Question 45. (a) 35 Class 12 Chapter 1 Maths Extra Questions. (b) 4 (a) $$\left(\frac{x+7}{2}\right)^{1 / 3}$$ (b) onto but not one-one (a) one-one onto Let S = {1, 2, 3, 4, 5} and let A = S × S. Define the relation R on A as follows: Answer: (c) 4 Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. Maths MCQ Questions for Class 12 with Answers Pdf Download. (b) {(1, 2), (2, 4), (3, 6), ……..}, Question 40. Answer: (a) 2 View all Sets, Relations and Functions Worksheets 1. Answer: Let X = {-1, 0, 1}, Y = {0, 2} and a function f : X → Y defiend by y = 2x4, is (d) None of these (b) $$\frac{x}{1+x^{2}}$$ (c) 16 Then the number of surjections from A into B is (a) 3 Topics in this lesson. Mathematics for Class 12 (Set of 2 Volume) Author: R.D. (c) Odd (b) $$g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}$$ Sets, Relations and Functions MCQ Worksheet – Part 3 This worksheet is based on the topic Sets, Relations and Functions. (b) f(x) = x + 2, Question 32. (a) $$\frac{2 x-5}{3}$$ (c) R-1 is not defiend Then * is Then R is (d) $$g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$$, Question 6. (a) 0 (b) f-1(x) = -f(x) 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 Answer: The domain of the function $$f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}$$ where {.} The maximum number of equivalence relations on the set A = {1, 2, 3} are ( 1 ) Let R = { ( 3, 3 ) ( 6, 6 ) ( ( 9, 9 ) ( 12, 12 ), ( 6, 12 ) ( 3, 9 ) ( 3, 12 ), ( 3, 6 ) } be a relation on the set A = { 3, 6, 9, 12 }. (b) transitive but not symmetric NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. The number of commutative binary operation that can be defined on a set of 2 elements is (a) one-one and onto D ALTER COLUMNS. 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. (c) $$\frac{x-\sqrt{x^{2}-4}}{2}$$ (b) -x (d) $$1+\sqrt{x^{2}-4}$$ Show that R is an equivalence relation. Class 12th Exam Maths VVI Objective Chapter Wise Question Class 12th मैथ ऑब्जेक्टिव PDF, 12th Inter मैथ का ऑब्जेक्टिव, BSEB 12th Exam मैथ का ऑब्जेक्टिव क्वे (a) One-one Let f : [0, ∞) → [0, 2] be defined by $$f(x)=\frac{2 x}{1+x}$$, then f is Let f : N → R : f(x) = $$\frac{(2 x-1)}{2}$$ and g : Q → R : g(x) = x + 2 be two functions. (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$ Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. The students should practice these HOTs Questions togain perfection which will help him Which one of the following function is not invertible? Relations and Functions Class 12 MCQs Questions with Answers Question 1. (c) one-one but not onto (b) reflexive but not transitive Then, R is (c) a bijection, Question 46. (c) both one-one and onto (c) $$\frac{x}{x-1}$$ (a) $$(x+5)^{\frac{1}{3}}$$ Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. (b) 1 (a) Onto. Arithmetic Ability provides you all type of quantitative and competitive aptitude MCQ questions on Trigonometry with easy and logical explanations. (b) Associative (b) 3 (c) $$\frac{3 x+2}{2}$$ 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) None of these (d) $$\frac{9 x+3}{5}$$ (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z} (a) $$\frac{4 x+5}{2}$$ We study different relations and check if they are reflexive, transitive, symmetric using different … (a) 0, Question 12. Then (c) [0, 2] (d) None of these Let f : A → B be defined by $$f(x)=\frac{x-2}{x-3}$$. (b) $$\frac{1}{1+x}$$ We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (c) f : R+ → R+, f(x) = $$\frac{1}{x^{3}}$$ 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 - (b) $$\frac{5}{160}$$ If f : [1, ∞) → [2, ∞) is given by f(x) = x + $$\frac{1}{x}$$, then f-1 equals to (c) Both (a) and (b), Question 20. Edu. (c) Both (a) and (b) (a) 5 It is represented as f: A → B and function is also called mapping. Answer: (b) 30 (a) Onto (b) 0 Relations and Functions Class 12 in 1 Shot By Neha Ma’am | cbse class 12 maths | Vedantu. (c) Both (a) & (b) Revise CBSE Class 12 Science Mathematics Relations and Functions with complete learning resources at TopperLearning. on the set A = { 3, 6, 9, 12 }. Relations and Functions Extra Questions for Class 12 Mathematics. Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. (a) f-1(x) = f(x) A function is a relation in which each input has only one output. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is Description. Range of $$f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}$$ Our video lessons will be useful when you are struggling to understand concepts such as binary operations, the composition of functions etc. (b) $$(x-5)^{\frac{1}{3}}$$, Question 33. 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. 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