Trigonometry MCQ Questions and answers with easy and logical explanations. Here, you will find topic notes to understand concepts like domain, range of a function, empty relation, equivalence relation etc. 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. Answer: (d) $$\frac{16}{3}$$ 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 JEE Main Sets Relations and Functions Important Questions × Sorry!, This page is not available for now to bookmark. A function is a relation in which each input has only one output. Relations and Functions Class 12 in 1 Shot By Neha Ma’am | cbse class 12 maths | Vedantu. (c) $$\frac{3-4 x}{6 x-4}$$ Let us define a relation R in R as aRb if a ≥ b. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (c) $$\frac{x}{x-1}$$, Question 11. (d) $$g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$$, Question 6. (b) 4 (c) 2, Question 29. (d) $$\frac{3 x+2}{3}$$ Answer: Class 12 Solved Question Paper (2016-17) Delhi Region Class 12 Phy. Let A = R – {3}, B = R – {1}. (d) neither one-one nor onto (b) 2n – 2, Question 30. We have taken care of every single concept given in CBSE Class 12 Mathematics syllabus and questions are framed as per the latest marking scheme and blue print issued by CBSE for class 12. Previous article Maths MCQs for Class 12 with Answers Chapter 1 Relations and Functions. (a) $$\frac{1}{x}$$ Mathematics for Class 12 (Set of 2 Volume) Author: R.D. on the set A = { 3, 6, 9, 12 }. (d) 6 Then 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. (c) both commutative and associative (b) $$\frac{4 x+7}{2}$$, Question 56. Answer: ... Inverse Trigonometric Functions Class 12 Maths MCQs Pdf. (b) onto (a) one-one Answer/Explanation. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. (d) f is not defined, Question 31. (a) reflexive but not symmetric, Question 28. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (b) ±2 (a) g is one-one on R There are total 20 Multiple Choice Questions based on Sets, Relations and Functions in this worksheet. Answer: Let A = {1, 2, 3, …. Let g(x) = x2 – 4x – 5, then (b) $$\frac{x}{1+x^{2}}$$ Range of $$f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}$$ (c) 25 The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is (c) $$\frac{3 x+2}{2}$$ Answer: Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. (b) (106)2 Then, There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. (b) $$\left(x-\frac{7}{2}\right)^{1 / 3}$$ Class 12 Maths Relations Functions . This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. n} and B = {a, b}. (b) $$\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)$$, Question 55. Answer: 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 - C ALTER TABLE. (a) 0, Question 12. Students who can Practice CBSE Class 12 Maths Multiple Choice Questions with Answers to improve your score in … The function f : R → R defined by f(x) = 3 – 4x is Download NCERT Books and apps for offline use based on latest CBSE Syllabus. (c) $$g(x)=\left(a x^{2}+b\right)^{1 / 3}$$ (c) Equivalence (a) one-one onto (a) not associative (a) 5x + 3 Check the below NCERT MCQ Questions for Class 12 Business Studies Chapter 5 Organising with Answers Pdf free download. (b) 6 n | m). (c) onto but not one-one Answer: (d) f(x) = x2 + 1 Let f : A → B be defined by $$f(x)=\frac{x-2}{x-3}$$. We study different relations and check if they are reflexive, transitive, symmetric using different … Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. ( 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 }. Answer: (d) $$\left(\frac{x-7}{2}\right)^{1 / 3}$$ (b) Many-one, Question 3. The number of bijective functions from set A to itself when A contains 106 elements is 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. 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 […] (a) x (b) 3 Answer: 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 Answer: 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: (d) $$1+\sqrt{x^{2}-4}$$ Answer: Answer: Nov 19, 2019 - Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Then, (gof) ($$\frac{3}{2}$$) is 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) Even NCERT Exemplar Class 11 Maths is very important resource for students preparing for XI Board Examination. 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 (b) {(1, 2), (2, 4), (3, 6), ……..} (d) many-one into (b) 3! Class 12th Math Objective MCQ Relation & Functions Chapter, कक्षा 12 मैथ का ऑब्जेक्टिव क्वेश्चन, क्लास 12th गणित ऑब्जेक्टिव क्वेश्चन, Bihar Board 12th Exam 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. (d) $$g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}$$ 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) symmetric, transitive but not reflexive These MCQs are very useful for … The inverse of the function $$y=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$$ is (a) [0, 1] Our video lessons will be useful when you are struggling to understand concepts such as binary operations, the composition of functions etc. If f(x) = $$1-\frac{1}{x}$$, then f(f($$\frac{1}{x}$$)) 1. (c) $$\frac{5 x+4}{3}$$ Get NCERT Solutions for Chapter 1 Class 12 Relation and Functions. B EDIT TABLE. Relations and Functions Class 12 MCQs Questions with Answers Question 1. (d) 5, Question 26. (a) Onto (c) commutative (a) 5 (d) 0, Question 21. Let f : N → R : f(x) = $$\frac{(2 x-1)}{2}$$ and g : Q → R : g(x) = x + 2 be two functions. Class 12th Math Objective MCQ Relation & Functions Chapter, कक्षा 12 मैथ का ऑब्जेक्टिव क्वेश्चन, क्लास 12th गणित ऑब्जेक्टिव क्वेश्चन, Bihar Board 12th Exam Solved examples with detailed answer description, explanation are given and it would be easy to understand Answer: 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 … (b) x = 2 (c) $$\frac{x}{x-1}$$ Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (b) $$\frac{6 x-4}{3+4 x}$$ (a) Onto. (c) -1 (d) -f(x) (d) 2106 (b) ±2, Question 8. (d) (0, 2) Answer: (d) $$\frac{1}{4} \log \left(\frac{2 x}{2-x}\right)$$ 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. As seen in Class XI, functions are special kind of relations. (d) None of these Description. Class 12 Chapter 1 Maths Extra Questions. If f(x) = (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by (c) Transitive only (d) None of these (a) Reflexive and symmetric (b) $$\frac{4 x+7}{2}$$ The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is (a) f(x) = x3 (c) $$\frac{1}{x+1}$$ (c) $$(5-x)^{\frac{1}{3}}$$ (d) π (c) f(x) = 2x + 1 (a) one-one and onto (b) 4 (d) $$\frac{3}{40}$$ (a) 3 (c) many-one onto Business Studies MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Sharma Publisher: . MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. Download NCERT Exemplar Book and Solutions of Class 12 Mathematics Chapter 1 – Relations and Functions are available for download. If f is an invertible function defined as f(x) = $$\frac{3 x-4}{5}$$, then f-1(x) is Download NCERT Exemplar Book and Solutions of Class 12 Mathematics Chapter 1 – Relations and Functions are available for download. D ALTER COLUMNS. NCERT Notes Mathematics for Class 12 . (a) one-one onto Answer: (a) 0 (d) $$\frac{x-2}{3}$$ (d) Equivalence relation Answers of all questions of this sheet are given at the end. 12th Math Question. ... Class 12th Maths MCQ QUESTIONS for CBSE 2020 - Duration: 17:03. Maths MCQ Questions for Class 12 with […] Students can solve NCERT Class 12 Business Studies Controlling MCQs Pdf with Answers to know their preparation level. Write the identity for *. Answer: This mock test of Test Level 1: Relations And Functions- 1 for JEE helps you for every JEE entrance exam. (a) $$\frac{3+4 x}{6 x-4}$$, Question 57. (d) both (a) and (b), Question 18. Answer: Learn important MCQs (with Answers) for Class 12 Physics Board Exam 2020 (Chapter 11 - Dual Nature of Radiation and Matter). Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (d) none of these (d) Equivalence relation, Question 37. 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) (2n + 1) π/2, n ∈ Z (c) 3 (d) None of these Let R be the relation “is congruent to” on the set of all triangles in a plane is Let f : R → R be a function defined by $$f(x)=\frac{e^{|x|}-e^{-x}}{e^{x}+e^{-x}}$$ then f(x) is (c) 2n – 1 (a) 0, Question 7. Question 1. (b) 1 (b) $$\frac{1}{1+x}$$ (d) None of these Relations and Functions Maths Objective Question by Vedantu. Answer: (a) 1 Answer: (a) $$\frac{3}{160}$$, Question 14. (b) Symmetric only (c) 106! The students should practice these HOTs Questions togain perfection which will help him Answer: Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. (a) reflexive but not transitive Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. (b) Associative (a) reflexive but not symmetric (a) one-one but not onto Students who can Practice CBSE Maths MCQs For Class 12 With Answers Pdf to improve your score in Board Exams. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. (c) 106! (b) not commutative (d) 5 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) (d) equivalence, Question 38. (d) None of these Let f : R → R be given by f(x) = tan x. We have provided Organising Class 12 Business Studies MCQs Questions with Answers to help students understand the concept very well. 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) $$g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)$$ Edu. (b) Transitive and symmetric Know more about this in Relations and Functions Class 11 Formulae pdf. how well the class has understood the lesson. Solved examples with detailed answer description, explanation are given and it would be easy to understand Answer: Answer: Our video lessons will be useful when you are struggling to understand concepts such as binary operations, the composition of functions etc. (d) None of these (a) $$\frac{3+4 x}{6 x-4}$$ 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. (c) 23 Which one of the following function is not invertible? Below mentioned chapter wise details of Class 12 RD Sharma Solutions: Chapter 1 Relations. In this chapter, we will study different types of relations and functions, composition of functions, invertible functions and binary operations. (c) -1 (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z} (a) Commutative (d) None of these (c) a bijection, Question 46. Answer: Relations and Functions Chapter 1 Important Questions The number of binary operations that can be defined on a set of 2 elements is myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. (c) 7 (a) 35 (c) R-1 is not defiend 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 Find the identity element in the set I+ of all positive integers defined by a * b = a + b for all a, b ∈ I+. (a) a bijection, Question 49. (d) None of these Bookmark added to your notes. (c) f is onto but not one-one (c) ±3 Your email address will not be published. (a) reflexive only (c) both one-one and onto (c) 1 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 Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Let * be a binary operation on Q, defined by a * b = $$\frac{3 a b}{5}$$ is (b) g is not one-one on R, Question 43. (a) $$\frac{2 x-5}{3}$$, Question 59. (d) None of these (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$ Sets, Relations and Functions MCQ Worksheet – Part 1 This worksheet is based on the topic Sets, Relations and Functions. Answer: 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. The function f : R → R given by f(x) = x3 – 1 is (d) neither injection nor surjection (a) f is bijective, Question 44. (d) None of these, Question 54. Answer: Here, you will find topic notes to understand concepts like domain, range of a function, empty relation, equivalence relation etc. C A view is updatable if it has been defined from a single relation. (b) -x (b) 2n – 2 (b) $$\frac{x-5}{3}$$ Let f : R → R be a function defined by f(x) = x3 + 4, then f is Answer: This contains 25 Multiple Choice Questions for JEE Test Level 1: Relations And Functions- 1 (mcq) to study with solutions a complete question bank. (d) None of these Answer: Let f : [0, ∞) → [0, 2] be defined by $$f(x)=\frac{2 x}{1+x}$$, then f is (a) commutative (b) reflexive, transitive but not symmetric Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (b) associative only The binary operation * defind on set R, given by a * b = $$\frac{a+b}{2}$$ for all a,b ∈ R is Answer: (d) 29 Answer: Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (b) 4 (d) None of these Topics in this lesson. Chapter Wise Important Questions Class 12 Mathematics. (c) $$\frac{5 x-2}{3}$$ Answer: Answer: Let f(x) = x2 – x + 1, x ≥ $$\frac{1}{2}$$, then the solution of the equation f(x) = f-1(x) is Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. (a) $$\frac{3}{160}$$ For binary operation * defind on R – {1} such that a * b = $$\frac{a}{b+1}$$ is (a) commutative (a) f : R → R, f(x) = 3x + 1 denotes fractional part, is Also download revision worksheets and easy to learn study notes, prepared based on NCERT and CBSE guidelines. (b) Many-one (b) reflexive but not transitive Check the below NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download. (c) equivalence, Question 25. (c) a bijection Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. Then f-1(x) is (c) 2 (a) commutative, Question 19. (c) g is bijective on R Let f : R → R be defind by f(x) = $$\frac{1}{x}$$ ∀ x ∈ R. Then f is Students can solve NCERT Class 12 Business Studies Directing MCQs Pdf with Answers to know their preparation level. (d) $$g(x)=\left(\frac{x^{1 / 3}+b}{a}\right)^{1 / 2}$$, Question 51. (c) one-one but not onto, Question 45. (a) [0, π] In a … (d) None of these, Question 65. 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. (b) surjective 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. 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 ____________. (b) 30 (d) neither transitive nor reflexive but symmetric (c) one-one but not onto (c) (fof) x = -x (c) Both (a) and (b) Chapter 1:- Relations and Functions. (b) g is not one-one on R (c) $$\left(\frac{x-2}{7}\right)^{1 / 3}$$ (b) 2, Question 63. 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. Ask your doubts related to NIOS board admission or … Find 2 * $$\frac{1}{3}$$ 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. Answer: (d) None of these Let f : R → R, g : R → R be two functions such that f(x) = 2x – 3, g(x) = x3 + 5. 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 (c) $$g(x)=\left(a x^{2}+b\right)^{1 / 3}$$ If f(x) = (ax2 – b)3, then the function g such that f{g(x)} = g{f(x)} is given by Question 4. Business Studies MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. (b) one-one into 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) 0 View all Sets, Relations and Functions Worksheets 1. (b) Associative The number of commutative binary operation that can be defined on a set of 2 elements is Then, R is If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = $$\frac{a b}{4}$$. 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. We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. 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. If f : R → R defined by f(x) = $$\frac{3 x+5}{2}$$ is an invertible function, then find f-1. (c) symmetric and transitive Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Then, R-1 is given by Maths MCQ Questions for Class 12 with Answers Pdf Download. (d) $$\frac{9 x+3}{5}$$ (a) x = 1 (c) $$\frac{5 x+4}{3}$$, Question 58. (d) $$\frac{9+2 x}{6 x-4}$$ (a) $$\log _{10}(2-x)$$ (b) $$(x-5)^{\frac{1}{3}}$$ (a) commutative only Relations and Functions Extra Questions for Class 12 Mathematics. (c) Both (a) and (b), Question 16. 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