So, period of f(x) = LCM (4, 4) = 4, Question 8. Given, f(x) = ex Hint: Page 2.8 Ex – 2.1 Q1. Relations and Functions Class 11 MCQs Questions with Answers. Mathematics Set Relation Function MCQ: Official, Free, No Login, Fast PDF Download. ⇒ |x| ≥ 1, Question 3. (d) 3, Answer: (b) 1 Thus, there exist T > 0 such that f(x + T) = f(x) for all x ∈ R 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. This set has 8 ordered pairs. Shopping Cart. Your test contains multiple-choice questions with only one answer type questions. Solution (ii) Let P denote the set of all straight lines in a plane. Hint: Question 1. MCQ Questions for Class 11 is very useful in scoring more marks and improving knowledge. 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. (c) (1, 3) The graph of the function y = f(x) is symmetrical about the line x = 2, then-, 18. (d) None of these, Answer: (b) (0, -4, 4) 3. Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. (d) (2, 3), Answer: (c) (1, 3) (d) x1/2, Answer: (b) x (c) R -{-1/2} You can test your knowledge and evaluate yourself. (c) None of these Let A and B be subsets of a set X. (d) Neither even nor odd function. Hint: Solved examples with detailed answer description, explanation are given and it would be easy to understand So, f(x) = sin4 3x + cos4 3x is periodic with period (π/2)/3 = π/6. Note:Two ordered pair X and … (a) 1/x If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to 7 – x ≥ 0 We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (a) (0, 4, 4) Get ideas for your own presentations. In a class of 30 pupils, 12 take needle work, 16 take physics and 18 take history. = -π/4 ≤ x ≤ π/4 2. x – 3 ≥ 0 Suppose there are two non-empty sets A and B. (x, y) ∈ R ⇔ x² + y² = 16 Hint: So, the range of the function is {1, 2, 3}, Question 20. Exercise 2.1 Class 11 Maths Relations and Functions NCERT Solutions were prepared according to CBSE marking scheme and guidelines. Sets, Relations and Functions MCQ Practice Sheet 11. = {(9x – 6)/(2x – 3) – 2)}/{((6x – 4)/(2x – 3) – 3)} = x If f(x) =(3x – 2)/(2x – 3) then the value of f(f(x)) is Relations and Functions Important Questions for Class 12 CBSE Maths Concept of Relation and Functions. Answer: (a) Even function Free Online tests & assessment tests for CBSE, Class 11, Mathematics are placed here. 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. Class 12th. (a) π/2 In this case, there is only one equivalence class. The function f : C → C defined by f (x) = ax + b/cx + d for x ∈ C where bd ≠ 0 reduces to a constant function if, 15. The general solution of the above inequality is total number of functions from S×S to S = (nn)² View The Trigonometric Functions Class 11 PPTs online, safely and virus-free! Functions are the special class of relation or we can say that special types of relations are called as Functions. Chemistry; Physics; Biology; Maths 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. (a) {1, 2, 3, 4, 5} Question 1. Kindly give Chapter 2 Relations and Functions Class 11 Maths MCQs Questions with Answers quickly as it is very essential. Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. and from 2, we get x ≤ 5 ………. (d) {-7, -5, -3}, Answer: (d) {-7, -5, -3} (b) R Now, f(x + T) = f(x), for all x ∈ R Answer: (a) R 1. 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. Hint: (d) x ≥ 4, Answer: (b) |x| ≥ 1 CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. These short objective type questions with answers are very important for Board exams as well as competitive exams. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. 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. It is not equivalence relation. (b) x² ⇒ (x – 1)×(x – 1) = 0 Contact. Given, f(x) = (3x – 2)/(2x – 3) 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. Clearly, f(x) is not defined when x² – 3x + 2 = 0 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 Now gof(x) = g(f(x)) = f(x²) = 2x² + 1, Question 13. Get to the point KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math questions for your exams. If f(x) = ex and g(x) = loge x then the value of fog(1) is (c) {-7, -5, 3} 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. 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 … Hint: 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. = f{-g(x)} {since g is an odd function} As seen in Class XI, functions are special kind of relations. f(0) = 2 × 0 – 3 = -3 General Instructions. (c) 2 Total number of binary operations = (2²)² = 24 = 16, Question 15. Answer: (a) Even function The equivalence class of 1 is given by, 5. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Physics. (d) all of above, Answer: (d) all of above and f(x) = 2x – 3 (b) π/3 (d) -π/3 ≤ x ≤ π/3, Answer: (b) nπ – π/4 ≤ x ≤ nπ + π/4 Let f(x) is periodic with period T. Hint: 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. Here you will find a series of Free MCQ on Production Function and Returns to a Factor for Class 11th. differentiate on both side, we get Sets, Relations and Functions: Questions 1-7 of 23. = x 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. NCERT Solutions of all questions of Chapter 2 Relations and Functions of Class 11 is available for free. Hint: ⇒ x + T – [x + T] = x – [x], for all x ∈ R If f(x) is an odd differentiable function on R, then df(x)/dx is a/an, 6. PRACTICE QUESTIONS ON RELATIONS AND FUNCTIONS OF GRADE 11. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. 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. (a) f(-x) = f(x) Hence it is transitive. = f{g(x)} for all x {since f is an even function} Hint: 1800-212-7858 / 9372462318. 20. Now, f(-2) = 2 × (-2) – 3 = -4 – 3 = -7 f(-1) = 2 × (-1) – 3 = -2 – 3 = -5 The relation R defined by “lRm if l is perpendicular to m”. General Instructions. (c) x² (d) None of these. Relations and Functions NCERT Solutions - Class 11 Maths Important Questions with Answers for CBSE Class 6 to 12 - All Subjects Important Questions for CBSE Class 12 Justify your answer. binary operations on S is the The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is If f (0) = 0, f (1) = 1, f (2) = 2 and f (x) = f (x - 2) + f (x - 3) for x = 3, 4, 5,&.., then f(9) =, 10. Home; Courses. Share yours for free! (a) -π/4 ≤ x ≤ π/4 The range of the function 7-xPx-3 is 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. So, the cartesian product of A and B is the set of all ordered pairs of elements from A and B. (a) x A function is a relation in which each input has only one output. -∞ < 2x + 1 < ∞ Now, f(f(x)) = f{(3x – 2)/(2x – 3)} (c) Either even or odd function 3. ⇒ x = 1, 2 If f (x) is a function such that f (x + y) = f (x) f (y) and f (3) = 125 then f (x) =, 14. For Study plan details. (c) f(-x) = k * f(x) where k is a constant (d) None of these, Answer: (b) f(-x) = -f(x) Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. 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. Let R be the set of real numbers. Let R be the relation in the set N given by R = {(a, b): a = b – 2, b > 6}. Hint: 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. Class 11 Maths Chapter 2 Relations and Functions are given here … (a) 2x + 1 (b) 2x² + 1 Function is one of the most important concepts in mathematics as every situation in real life are solved and analysed first by writing its mathematical equation or function. This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. We hope the NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Ex 2.3 help you. Relations and Functions. Hint: ⇔ y = ±√(16 – x² ) But if f is a function from A to B, then domain f is equal to A. Jan 07,2021 - Test Level 1: Relations And Functions- 1 | 25 Questions MCQ Test has questions of JEE preparation. 1. (a) R We can also represent it as in a tabular form. Free PDF download of Important Questions with solutions for CBSE Class 11 Maths Chapter 2 - Relations and Functions prepared by expert Maths teachers from latest edition of CBSE(NCERT) books. or own an. This article consists of MCQ related to the topic “Production Function and Returns to a Factor”. (c) (2x + 1)² (b) Odd function 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. Previous Year Examination Questions (c) nπ – π/3 ≤ x ≤ nπ + π/3 (b) x Let us look into the next example on "Relations and Functions Class 11 Questions". 7 – x ≥ x – 3 Given, A = {-2, -1, 0} Hint: 6 Free Online MCQ Questions for Class 11 Microeconomics with Answers was Prepared Based on Latest Exam Pattern. ⇒ -df(-x)/dx = -df(x)/dx for all x ∈ R So, here the answer is 2 (11*11)-11 = 2 110. (a) the domain of f = the domain of g Since, loga k ≥ 0 if a > 1, k ≥ 1 In daily life, relations are like brother and sister, friends, student and teacher and many more. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. (0, 4) ∈ R and (0, -4) ∈ R 3. f(x) = g(x) for all x, Question 5. Education Franchise × Contact Us. Know more about this in Relations and Functions Class 11 Formulae pdf. when x = 0 ⇒ y = ±4 It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. This contains 15 Multiple Choice Questions for JEE Test: Functions (mcq) to study with solutions a complete question bank. 19. If f(x) is an odd differentiable function on R, then df(x)/dx is a/an (c) Either even or odd function Given, f(x) = (a – x)1/n Given that: Hint: Total number of elements = 2 Provide me latest MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions Free PDF Download so I can prepare for exams. So, f(x) = x – [x] has period 1, Question 11. Hint: Need assistance? (b) 1 Answer. = (9x – 6 – 4x + 6)/(6x – 4 – 6x + 9) 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. (a) 4 It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. and g(x) = log x Now, fog(-x) = f{g(-x)} The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period Let S = {1, 2, 3}. (b) 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. 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. So, Domain(R) = {0, -4, 4}, Question 14. Studyrankers is a free educational platform for cbse k-12 students. (i) f is a relation from A to B (ii) f is a function from A to B. MENU MENU. Explanation: The rank of an equivalence relation is the number of an equivalence classes. Now, f(f(x)) = [(a – f(x))n]1/n Hint: ⇒ [x + T] – [x] = T, for all x ∈ R The domain of the function f(x) = sin-1 (tan x) is Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Free Online tests & assessment tests for CBSE, Class 11, Mathematics are placed here. The number of binary operations on the set {a, b} are MySQL Multiple Choice Questions and Answers for competitive exams. ⇒ f(5) = 7-5P5-3 = 2P2 = 2 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 Two functions f and g are said to be equal if f (a) {7, -5, -3} 1. the domain of f = the domain of g So, fog is an even function. Register online for Maths tuition on Vedantu.com to score more marks in your Examination. (c) 8 These MCQ's are extremely critical for all CBSE students to score better marks. Now, from 1, we get x ≤ 7 ……… 4 Now, f(3) = 7-3P3-3 = 4P0 = 1 Question 11: Let f be the subset of Z x Z defined by f={(ab, a+b): a, b ∈ Z}. Many us you might be confused in their difference. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Relations and Functions Extra Questions for Class 12 Mathematics. From 4, 5 and 6, we get (c) R – {1, 2} MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. Given Set = {a, b} ⇒ f(-x) = -f(x) for all x ∈ R These short solved questions or quizzes are provided by Gkseries. The domain of the function f = {(1, 3), (3, 5), (2, 6)} is. (a) 0 The domain of the function f(x) = 1/(x² – 3x + 2) is when x = ±4 ⇒ y = 0 These short solved questions or quizzes are provided by Gkseries. Sets are usually denoted by capital letters A, B,C,… and elements are usually denoted by small letters a, b,c,… . Free Online MCQ Questions for Class 11 Microeconomics with Answers was Prepared Based on Latest Exam Pattern. from 2, we get x ≥ 3 ……………. (d) Neither even nor odd function. (c) |x| > 4 This Relations and Functions Class 11 MCQ test check the understanding and concept of the chapter. If f is an even function and g is an odd function the fog is a/an ⇒ x ∈ R ⇒ df(-x)/dx = df(x)/dx for all x ∈ R Cancel Unsubscribe. Become our. This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Differences between relation and function If R is a relation from A to B, then domain of R may be a subset of A. (a) Even function = {(3×(3x – 2)/(2x – 3) – 2)}/{(2(3x – 2)/(2x – 3) – 3)} Access all study material free and download in pdf prepared based on latest guidelines, term examination pattern and blueprint issued by CBSE and NCERT . Choose the correct answer. If f(x) = log3 x and A = (3, 27) then f(A) = Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Relations and Functions, MCQ, Notes, NCERT solutions, R. D Sharma solutions & sample papers for Class 11th Mathematics CBSE Board (d) 24, Answer: (a) 4 We have provided Relations and Functions Class 11 Maths MCQs Questions with Answers to help students understand the concept very well. ⇒ df(x)/dx is an even function on R. Question 7. 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 MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Given, f is an even function and g is an odd function. Many are downloadable. In Maths, the term relation is used to relate the numbers, symbols, variables, sets, group of sets, etc. (b) f(-x) = -f(x) NCERT solutions for Class 12 Maths chapter 1 (Relations and Functions) include all questions with solution and detail explanation. (d) 16, Answer: (d) 16 = 5x/5 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. We have f(x) = √(log12 x²) You can test your knowledge and evaluate yourself. (b) {-7, 5, -3} 2. 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). Since g(x) = sin4 x + cos4 x is periodic with period π/2 the function f(x) = x – [x] has period of Relations & Functions, Class 11 Mathematics R.D Sharma Solutions. We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions with Answers Pdf free download will help you. 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. We cannot take pair from the given relation to prove that it is not transitive. (a) x > 0 Let S is a finite set containing n elements. 1. 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 8 Science: Ch 8 Cell Structure and Functions. There are 2 (n*n)-n number of reflexive relations that can be formed. Now for other integral values of x, y is not an integer. 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. So, the domain is {3, 4, 5} log12 x² ≥ 0 Academic Partner. Loading... Unsubscribe from Math Mentor? 2. Sets, Relations and Functions: Questions 1-7 of 23. ⇒ f(f(x)) = [a – a + xn)]1/n Class 11 Study Notes, Computer Science, Informatics Practices, Physics, Business Studies, Maths, Chemistry, Biology, Economics, Physical Education Let T is a positive real number. The function f(x) = 10x from R to [0, ∞) is. Justify your answer. (b) the co-domain of f = the co-domain of g (d) None of these, Answer: (a) x = {(9x – 6) – 2(2x – 3)}/{(6x – 4) – 3(2x – 3)} Know more about this in Relations and Functions Class 11 Formulae pdf. Class 11 - Mid Term Sample Question Papers ... Sets are used to define the concepts of relations and functions. Practice Relations and Functions Class 11 MCQs test. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. (a) 2 or 0 < a < 1 and 0 < k ≤ 1 So, tan-1 (2x + 1) is defined if Period of sin (πx/2) = 2π/(π/2) = 4 (d) R – {1, -2}, Answer: (c) R – {1, 2} Contact us on below numbers. (c) π/4 (b) 4 Relations and functions are two different words having different meaning mathematically. MCQ ON SET RELATION AND FUNCTION TRICKS FOR NDA | IIT JEE | CSIR NET | UGC | M.sc in hindi Math Mentor. Hint: Hint: RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. Hint: Is f a function from Z to Z? (b) {3, 4, 5} 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. (b) |x| ≥ 1 ⇒ f(f(x)) = (xn)1/n (c) 12 Description. A function f(x) is said to be an odd function if (c) (0, -4, -4) (b) nπ – π/4 ≤ x ≤ nπ + π/4 = [{(9x – 6) – 2(2x – 3)}/(2x – 3)]/[{(6x – 4) – 3(2x – 3)}/(2x – 3)] ⇒ f(4) = 7-4P4-3 = 3P1 = 3 (d) {1, 2, 3}, Answer: (d) {1, 2, 3} The period of the function f(x) = sin4 3x + cos4 3x is Hint: 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. Relations and Functions Class 11 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. So, domain of function is R – {1, 2}, Question 17. Find x and y if: (i) (4x + 3, y) = (3x + 5, – 2) (ii) (x – y, x + y) = (6, 10) a) 2 110 b) 3 121 c) 2 90 d) 2 132 View Answer . Since f(x) = log3 x is an increasing function MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (b) (3, 3) myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. Check the below NCERT MCQ Questions for Class 11 Maths Chapter 2 Relations and Functions with Answers Pdf free download. The number of binary operations on the set {a, b} are, 13. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. 15 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Functions . (d) None of these, Answer: (b) 1 So, f(A) = (log3 3, log3 27) = (1, 3), Question 9. This will clear students doubts about any question and improve application skills while preparing for board exams. 3 ≤ x ≤ 5 2. the co-domain of f = the co-domain of g 3. ⇒ f(f(x)) = [(a – {(a – xn)1/n }n ]1/n Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. MCQ Questions for Class 11 is very useful in scoring more marks and improving knowledge. (b) 6 In this chapter, we will study different types of relations and functions, composition of functions, invertible functions and binary operations. There are a total of 20 questions; This is a 50 min test. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. CBSE Class 11 Mathematics Relations and Functions Assignment Set E. Based on CBSE and NCERT guidelines. Period of cos (πx/2) = 2π/(π/2) = 4 Given, f(x) is an odd differentiable function on R 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 (c) x³ The function f : S → S defined as below have inverse for, 7. 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. Question 16. ⇒ f(f(x)) = x, Question 2. ⇒ -∞ < x < ∞ The function f(x) = x – [x] has period of, 8. Glide to success with Doorsteptutor material for KVPY : fully solved questions with step-by-step explanation- practice your way to success. If n(A) = p and n(B) = q, then how many relations are there from A to B? 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