(d) -π/3 ≤ x ≤ π/3, Answer: (b) nπ – π/4 ≤ x ≤ nπ + π/4 (b) (0, -4, 4) MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. 3 ≤ x ≤ 5 (c) -1 (d) 16, Answer: (d) 16 Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. (a) 2x + 1 The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is Given that: If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to (d) x1/2, Answer: (b) x Hint: f(-1) = 2 × (-1) – 3 = -2 – 3 = -5 Hint: Period of cos (πx/2) = 2π/(π/2) = 4 (b) {-7, 5, -3} Become our. binary operations on S is the In relations and functions Class 11, you will learn the cartesian product of sets along with relations and functions. The domain of the function f(x) = 1/(x² – 3x + 2) is 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 7 – x ≥ 0 the function f(x) = x – [x] has period of Answer: a Explanation: Let A be a set consists of n distinct elements. PRACTICE QUESTIONS ON RELATIONS AND FUNCTIONS OF GRADE 11. If f(x) is an odd differentiable function on R, then df(x)/dx is a/an, 6. (d) None of these, Answer: (b) 1 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 … (c) f(-x) = k * f(x) where k is a constant 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. Explanation: The rank of an equivalence relation is the number of an equivalence classes. In Maths, the term relation is used to relate the numbers, symbols, variables, sets, group of sets, etc. So, f(x) = x – [x] has period 1, Question 11. So, period of f(x) = LCM (4, 4) = 4, Question 8. 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. (a) Even function (b) 1 3. f(x) = g(x) for all x, Question 5. ⇒ f(f(x)) = [(a – {(a – xn)1/n }n ]1/n Question 1. practice questions on relations and functions of grade 11 Discuss the following relations for reflexivity, symmetricity and transitivity: (i) The relation R defined on the set of … We shall study both these concepts in detail here.Same as the relations which we have in our daily life, a kind of relations also exists in algebra. Hence R = {(0, 4), (0, -4), (4, 0), (-4, 0)} (d) Neither even nor odd function. Question 2 : Prove that the relation “friendship” is not an equivalence relation on the set of … We have provided Relations and Functions Class 11 Maths MCQs Questions with Answers to help students understand the concept very well. (c) x² (c) Either even or odd function Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. _____ number of reflexive relations are there on a set of 11 distinct elements. A function f(x) is said to be an odd function if (b) nπ – π/4 ≤ x ≤ nπ + π/4 = x This topic “Relations and Functions” is a foundation or fundamental of algebra in mathematics. Previous Year Examination Questions (b) f(-x) = -f(x) Education Franchise × Contact Us. (c) f(x) = g(x) for all x Answer. 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). = elog x The relation R defined by “lRm if l is perpendicular to m”. If we have a 1, a 2, a 3, …, a n elements then a 1 and a 2 will be in the same equivalence class because everything is related and so on. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. fog(x) = f(g(x)) CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Now, f(f(x)) = [(a – f(x))n]1/n This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. Let S = {1, 2, 3}. (a) f(-x) = f(x) Let S is a finite set containing n elements. (c) None of these (c) (0, -4, -4) Since, loga k ≥ 0 if a > 1, k ≥ 1 01 - sets, relations and functions page 6 ( Answers at the end of all questions ) ( 36 ) Let f ( x ) = l x - 1 l . Given, f(x) = ex (b) 6 Since binary operation on S is a function from S×S to S, therefore total number of 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. 3. (b) R 20. NCERT Solutions of all questions of Chapter 2 Relations and Functions of Class 11 is available for free. Free Online MCQ Questions for Class 11 Microeconomics with Answers was Prepared Based on Latest Exam Pattern. 2. the co-domain of f = the co-domain of g (d) Neither even nor odd function. So, here the answer is 2 (11*11)-11 = 2 110. (a) x > 0 Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. (b) the co-domain of f = the co-domain of g 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. Now, fog(-x) = f{g(-x)} ⇔ y = ±√(16 – x² ) Hint: 6 when x = 0 ⇒ y = ±4 We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. ⇒ (x – 1)×(x – 1) = 0 = [{(9x – 6) – 2(2x – 3)}/(2x – 3)]/[{(6x – 4) – 3(2x – 3)}/(2x – 3)] Cancel Unsubscribe. Note:Two ordered pair X and … MCQ ON SET RELATION AND FUNCTION TRICKS FOR NDA | IIT JEE | CSIR NET | UGC | M.sc in hindi Math Mentor. 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. General Instructions. Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. Jan 07,2021 - Test Level 1: Relations And Functions- 1 | 25 Questions MCQ Test has questions of JEE preparation. ⇒ df(x)/dx is an even function on R. Question 7. Check the below NCERT MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions with Answers Pdf free download. 2. Class 11 Study Notes, Computer Science, Informatics Practices, Physics, Business Studies, Maths, Chemistry, Biology, Economics, Physical Education Hint: The period of the function f(x) = sin4 3x + cos4 3x is Practice Questions For Class 11 Maths Chapter 2 Relations and Functions. ⇒ f(f(x)) = x, Question 2. (d) π/6, Answer: (d) π/6 If f(x) is an odd differentiable function on R, then df(x)/dx is a/an Know more about this in Relations and Functions Class 11 Formulae pdf. Now, f(3) = 7-3P3-3 = 4P0 = 1 The function f(x) = 7-xPx-3 is defined only if x is an integer satisfying the following inequalities: Home; Courses. 19. Hint: CBSE Class 11 Mathematics Relations and Functions Assignment Set E. Based on CBSE and NCERT guidelines. and from 2, we get x ≤ 5 ………. (b) Odd function Now, f(f(x)) = f{(3x – 2)/(2x – 3)} (c) R -{-1/2} CBSE Class 11 Mathematics Relations and Functions Assignment Set E. Based on CBSE and NCERT guidelines. (b) (3, 3) 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. (c) π/4 Period of sin (πx/2) = 2π/(π/2) = 4 (a) the domain of f = the domain of g So, the domain is {3, 4, 5} Many us you might be confused in their difference. In our day-to-day life, we have known the term relations in a pattern such as the relation between brothers and sisters, husband and wife or teacher and student. If n(A) = p and n(B) = q, then how many relations are there from A to B? Let us look into the next example on "Relations and Functions Class 11 Questions". If f(x + y + z) = f(x) f(y) f(z) for all x , y z and if f(2) = 4, f’(0) = 5 and f(0) ≠ 0, then f’(2) is equal to, 17. or 0 < a < 1 and 0 < k ≤ 1 Choose the correct answer. Contact us on below numbers. a) 2 110 b) 3 121 c) 2 90 d) 2 132 View Answer . 3. 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. Two functions f and g are said to be equal if f Let T is a positive real number. differentiate on both side, we get = {(3×(3x – 2)/(2x – 3) – 2)}/{(2(3x – 2)/(2x – 3) – 3)} myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. Shopping Cart. Hint: (b) |x| ≥ 1 This article consists of MCQ related to the topic “Production Function and Returns to a Factor”. Solution (ii) Let P denote the set of all straight lines in a plane. sin-1 (tan x) is defined for -1 ≤ tan x ≤ 1 It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. In a relation from A to B, an element of A may be related to more than one element in B. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We hope the NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Ex 2.3 help you. (a) 4 Hint: = f{-g(x)} {since g is an odd function} Class 11 Study Notes, Worksheet and Question Papers . (d) x ≥ 4, Answer: (b) |x| ≥ 1 (d) None of these, Answer: (b) f(-x) = -f(x) 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. Hint: So, the function f(x) exists if (d) (2, 3), Answer: (c) (1, 3) So, tan-1 (2x + 1) is defined if Relations and Functions, MCQ, Notes, NCERT solutions, R. D Sharma solutions & sample papers for Class 11th Mathematics CBSE Board ⇒ x = 1, 2 ⇒ x + T – [x + T] = x – [x], for all x ∈ R Share yours for free! The number of binary operations on the set {a, b} are ⇒ [x + T] – [x] = T, for all x ∈ R Given, f(x) = (3x – 2)/(2x – 3) ⇒ -df(-x)/dx = -df(x)/dx for all x ∈ R ⇒ x ∈ (-∞, ∞) The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. We can also represent it as in a tabular form. A function is a relation in which each input has only one output. (c) {-7, -5, 3} MCQ Questions for Class 11 is very useful in scoring more marks and improving knowledge. (d) {-7, -5, -3}, Answer: (d) {-7, -5, -3} MENU MENU. This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. Two functions f and g are said to be equal if f So, f(x) = sin4 3x + cos4 3x is periodic with period (π/2)/3 = π/6. So, domain of tan-1 (2x + 1) is R. Question 10. (d) all of above, Answer: (d) all of above Question 1. (c) nπ – π/3 ≤ x ≤ nπ + π/3 1. Now, f(x + T) = f(x), for all x ∈ R Given, f(x) = (a – x)1/n In daily life, relations are like brother and sister, friends, student and teacher and many more. (c) (1, 3) It is not equivalence relation. If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B is, 16. A function is a relation in which each input has only one output. In a class of 30 pupils, 12 take needle work, 16 take physics and 18 take history. (a) {1, 2, 3, 4, 5} The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. This contains 15 Multiple Choice Questions for JEE Test: Functions (mcq) to study with solutions a complete question bank. 1. the domain of f = the domain of g Hint: So, Domain(R) = {0, -4, 4}, Question 14. (d) R – {1, -2}, Answer: (c) R – {1, 2} Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. ⇒ df(-x)/dx = df(x)/dx for all x ∈ R Solution: (i) f is a relation from A to B . Hence it is transitive. 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. NCERT Solutions of all questions of Chapter 2 Relations and Functions of Class 11 is available for free. Total number of binary operations = (2²)² = 24 = 16, Question 15. Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. These MCQ's are extremely critical for all CBSE students to score better marks. (c) 8 As seen in Class XI, functions are special kind of relations. If f(x) = ex and g(x) = loge x then the value of fog(1) is The equivalence class of 1 is given by, 5. Description. (b) 2x² + 1 It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. The graph of the function y = f(x) is symmetrical about the line x = 2, then-, 18. This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. ⇒ -∞ < x < ∞ (b) 1 (a) R ⇒ f(5) = 7-5P5-3 = 2P2 = 2 The function f(x) = x – [x] has period of, 8. 2. 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