On the set Z of all integers define f ; Z → Z as follows : f (x) = x/2 if x is even, and f (x) = 0 if x is odd , then f is. ⇒ -df(-x)/dx = -df(x)/dx for all x ∈ R Question 16. (d) 16, Answer: (d) 16 f(-x) = -f(x) for all x, Question 6. If you have any queries regarding CBSE Class 11 Maths Relations and Functions MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. 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 … So, domain of function is R – {1, 2}, Question 17. Two functions f and g are said to be equal if f We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions with Answers Pdf free download will help you. 1. the domain of f = the domain of g (a) 4 These MCQ's are extremely critical for all CBSE students to score better marks. or own an. (a) x (a) (1, 1) If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to -∞ < 2x + 1 < ∞ This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Class 11 - Mid Term Sample Question Papers ... Sets are used to define the concepts of relations and functions. ⇒ x + T – [x + T] = x – [x], for all x ∈ R These short solved questions or quizzes are provided by Gkseries. (b) 4 Chapter 2 Relations and Functions Class 11 Maths MCQ Questions with answers is available here that will help you in knowing the latest pattern of CBSE and understanding the the basic concepts of the chapter. In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. This test is Rated positive by 93% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. ⇒ x² ≥ 1 MCQ Questions for Class 11 is very useful in scoring more marks and improving knowledge. Since, loga k ≥ 0 if a > 1, k ≥ 1 Hint: The function f(x) = 7-xPx-3 is defined only if x is an integer satisfying the following inequalities: 1800-212-7858 / 9372462318. Justify your answer. If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to, 12. 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. Need assistance? Hence R = {(0, 4), (0, -4), (4, 0), (-4, 0)} (b) 6 or 0 < a < 1 and 0 < k ≤ 1 Relations and Functions Class 11 NCERT Book: If you are looking for the best books of Class 11 Maths then NCERT Books can be a great choice to begin your preparation. (d) all of above, Answer: (d) all of above A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. CBSE Class 11-science Maths Relations and Functions Cartesian Product of Sets Define the ordered pairs as the pair of elements grouped in a particular order and discuss the Cartesian product of sets. Academic Partner. 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Hint: Relations and Functions Class 11 MCQs Questions with Answers. (a) 2x + 1 In daily life, relations are like brother and sister, friends, student and teacher and many more. So, the range of the function is {1, 2, 3}, Question 20. Sets are usually denoted by capital letters A, B,C,… and elements are usually denoted by small letters a, b,c,… . We cannot take pair from the given relation to prove that it is not transitive. (b) {3, 4, 5} (a) 1/x Education Franchise × Contact Us. 1. (c) R – {1, 2} The students should read these basic concepts and practice the assignments to gain perfection which will help him to get more marks in CBSE examination. Solution: (i) f is a relation from A to B . 3. f(x) = g(x) for all x, Question 5. Sets, Relations and Functions: Questions 1-7 of 23. Hint: = {(3×(3x – 2)/(2x – 3) – 2)}/{(2(3x – 2)/(2x – 3) – 3)} Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. (b) f(-x) = -f(x) Note:Two ordered pair X and … Get to the point KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math questions for your exams. nπ -π/4 ≤ x ≤ nπ + π/4, Question 18. 1. We have f(x) = √(log12 x²) Choose the correct answer. Given, f is an even function and g is an odd function. Relations and Functions Extra Questions for Class 12 Mathematics. (a) x > 0 Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. sin-1 (tan x) is defined for -1 ≤ tan x ≤ 1 So, the domain is {3, 4, 5} We have provided Relations and Functions Class 11 Maths MCQs Questions with Answers to help students understand the concept very well. Now, from 1, we get x ≤ 7 ……… 4 MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. = f{g(x)} for all x {since f is an even function} (c) R -{-1/2} Given, A = {-2, -1, 0} ⇒ df(x)/dx is an even function on R. Question 7. Relations and Functions. Let A = {1, 2, 3}, B = {4} and C = {5} (i) Verify that: A x (B – C) = (A x B) – (A x C) (ii) Find (A x B) ∩ (A x C). Free Online MCQ Questions for Class 11 Microeconomics with Answers was Prepared Based on Latest Exam Pattern. Total number of elements = 2 (4, 0) ∈ R and (-4, 0) ∈ R from 2, we get x ≥ 3 ……………. (d) Neither even nor odd function. Answer: (b) x Hint: Given, f(x) = (a – x) 1/n Now, f(f(x)) = [(a – f(x)) n] 1/n ⇒ f(f(x)) = [(a – {(a – x … This mock test of Test: Functions for JEE helps you for every JEE entrance exam. CBSE Class 11 Mathematics Relations and Functions Assignment Set E. Based on CBSE and NCERT guidelines. Since tan-1 x exists if x ∈ (-∞, ∞) Description. This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. A function f(x) is said to be an odd function if (a) {1, 2, 3, 4, 5} It is true.in f have the same first components. Class 11 Study Notes, Computer Science, Informatics Practices, Physics, Business Studies, Maths, Chemistry, Biology, Economics, Physical Education So, here the answer is 2 (11*11)-11 = 2 110. 7 – x ≥ 0 (a) 2 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. 7 – x ≥ x – 3 Jan 07,2021 - Test Level 1: Relations And Functions- 1 | 25 Questions MCQ Test has questions of JEE preparation. Answer. (a) the domain of f = the domain of g So, f(x) = sin4 3x + cos4 3x is periodic with period (π/2)/3 = π/6. We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. In a class of 30 pupils, 12 take needle work, 16 take physics and 18 take history. So, Domain(R) = {0, -4, 4}, Question 14. So, f(f(x)) = x, Question 12. Answer: (a) Even function The range of the function 7-xPx-3 is Question 1. Studyrankers is a free educational platform for cbse k-12 students. ⇒ f(f(x)) = [(a – {(a – xn)1/n }n ]1/n If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Ex 2.3, drop a comment below and we will get back to you at the earliest. Hint: Solution (ii) Let P denote the set of all straight lines in a plane. (d) π/6, Answer: (d) π/6 The function f(x) = 10x from R to [0, ∞) is. 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. But if f is a function from A to B, then domain f is equal to A. = f (log x) Free Online tests & assessment tests for CBSE, Class 11, Mathematics are placed here. Now, f(f(x)) = [(a – f(x))n]1/n This set has 8 ordered pairs. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Class 11 Relations & Functions NCERT Solutions and Exemplar Problem Solutions, also download free worksheets and assignments with important questions, do online tests and get free concept notes for examinations. (c) π/4 = 5x/5 We can also represent it as in a tabular form. You can test your knowledge and evaluate yourself. ⇒ f(5) = 7-5P5-3 = 2P2 = 2 Let S = {1, 2, 3}. (c) {-7, -5, 3} 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. Two functions f and g are said to be equal if f 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 3. Hint: PRACTICE QUESTIONS ON RELATIONS AND FUNCTIONS OF GRADE 11. CBSE Class 11 Mathematics Relations and Functions Assignment Set E. Based on CBSE and NCERT guidelines. Hint: Now, the smallest value of T satisfying f(x + T) = f(x) for all x ∈ R is 1 Students can solve NCERT Class 11 Microeconomics Production Function and Returns to a Factor Current Multiple Choice Questions with Answers to know their preparation level on Success Roar Classes Website itself. f(-1) = 2 × (-1) – 3 = -2 – 3 = -5 Detailed explanation of each question, examples is provided.The topics of this chapter includesCartesian Product of Sets- How to find Cartesian Product, What is an ordered pair, Finding Cartesian = x Share yours for free! Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Math Class 11 Chapter 1 and 2 Sets and relations and functions Set Set is a collection of well defined objects which are distinct from each other. (c) None of these (b) the co-domain of f = the co-domain of g So, the cartesian product of A and B is the set of all ordered pairs of elements from A and B. 3 ≤ x ≤ 5 Contact. Detailed explanation of each question, examples is provided.The topics of this chapter includesCartesian Product of Sets- How to find Cartesian Product, What is an ordered pair, Finding Cartesian Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. = elog x (c) x² Hint: So, the function f(x) exists if Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. (c) f(-x) = k * f(x) where k is a constant In this chapter, we will study different types of relations and functions, composition of functions, invertible functions and binary operations. Hence it is transitive. Hint: The period of the function f(x) = sin4 3x + cos4 3x is (b) {-7, 5, -3} It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. (a) Even function If f(x) = (a – x) 1/n, a > 0 and n ∈ N, then the value of f(f(x)) is (a) 1/x (b) x (c) x² (d) x 1/2. Mathematics Set Relation Function MCQ: Official, Free, No Login, Fast PDF Download Glide to success with Doorsteptutor material for KVPY : fully solved questions with step-by-step explanation - … General Instructions. Chemistry; Physics; Biology; Maths Here you can get Class 12 Important Questions Maths based on NCERT Text book for Class XII.Maths Class 12 Important Questions are very helpful to score high marks in board exams. Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. binary operations on S is the Home; Courses. So, f(x) is not defined when x = 1, 2 Class 12th. This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. 3. Answer: (a) Even function 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 (d) (2, 3), Answer: (c) (1, 3) Answer: (a) R (a) (0, 4, 4) ⇒ x ∈ R f(0) = 2 × 0 – 3 = -3 Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. ⇒ x ∈ (-∞, ∞) Relations and Functions, MCQ, Notes, NCERT solutions, R. D Sharma solutions & sample papers for Class 11th Mathematics CBSE Board (b) 2x² + 1 So, f(x) = x – [x] has period 1, Question 11. So, fog is an even function. and from 2, we get x ≤ 5 ………. NCERT Solutions of all questions of Chapter 2 Relations and Functions of Class 11 is available for free. Given, f(x) is an odd differentiable function on R 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}. This contains 15 Multiple Choice Questions for JEE Test: Functions (mcq) to study with solutions a complete question bank. NCERT solutions for Class 12 Maths chapter 1 (Relations and Functions) include all questions with solution and detail explanation. Relations & Functions, Class 11 Mathematics R.D Sharma Solutions. These short solved questions or quizzes are provided by Gkseries. The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period Justify your answer. Given that: (c) 2 The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is Explanation: The rank of an equivalence relation is the number of an equivalence classes. Physics. when x = 0 ⇒ y = ±4 Hint: Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. In this case, there is only one equivalence class. The students should read these basic concepts and practice the assignments to gain perfection which will help him to get more marks in CBSE examination. Hint: So, fog(1) = 1, Question 4. Let R be the relation in the set N given by R = {(a, b): a = b – 2, b > 6}. The concept very well Yojana ) Stream-SA ( Class 11 Maths MCQs for Class 11 ) Questions. Students to score more marks and improving knowledge f: S → S defined as have... Of all Questions of JEE preparation Answers are very Important for Board exams as well as competitive exams students the. 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And 18 take history function Hint: given, f is a foundation or fundamental of algebra Mathematics... ) let P denote the set { a, B } are, 13 Class 11-science Mathematics chapters on....