Education Franchise × Contact Us. Get Free NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions. Sets, Relations and Functions: Questions 1-7 of 23. (b) π/3 So, the domain is {3, 4, 5} (a) x This test is Rated positive by 88% students preparing for JEE.This MCQ test is related to JEE syllabus, prepared by JEE teachers. Hint: (d) Neither even nor odd function. when x = ±4 ⇒ y = 0 But if f is a function from A to B, then domain f is equal to A. 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. Many us you might be confused in their difference. Let S is a finite set containing n elements. -∞ < 2x + 1 < ∞ Relations and Functions Important Questions for Class 12 CBSE Maths Concept of Relation and Functions. It includes Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction (Not for Exams), Complex Numbers… etc. and g(x) = log x We have provided Relations and Functions Class 11 Maths MCQs Questions with Answers to help students understand the concept very well. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. = f{g(x)} for all x {since f is an even function} Hint: (c) -1 (d) None of these, Answer: (b) 1 19. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. Your test contains multiple-choice questions with only one answer type questions. = f (log x) Question 1. Hint: Hint: 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. (c) π/4 The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is MCQ Questions for Class 11 is very useful in scoring more marks and improving knowledge. A function is a relation in which each input has only one output. Question 16. 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. ⇒ (x – 1)×(x – 1) = 0 (d) {-7, -5, -3}, Answer: (d) {-7, -5, -3} Given that: Relations and Functions. MySQL Multiple Choice Questions and Answers for competitive exams. If f(x) = ex and g(x) = loge x then the value of fog(1) is and from 2, we get x ≤ 5 ………. 7 – x ≥ 0 Jan 19,2021 - Test: Composition Of Functions | 10 Questions MCQ Test has questions of JEE preparation. 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 Let f(x) is periodic with period T. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. 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. 2. Given, function is f(x) = 1/(x² – 3x + 2) 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. If f (x) is a function such that f (x + y) = f (x) f (y) and f (3) = 125 then f (x) =, 14. 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. Exercise 2.1 Class 11 Maths Relations and Functions NCERT Solutions were prepared according to CBSE marking scheme and guidelines. Class 12th. myCBSEguide has just released Chapter Wise Question Answers for class 12 Maths. (d) None of these, Answer: (b) f(-x) = -f(x) Answer. This topic “Relations and Functions” is a foundation or fundamental of algebra in mathematics. Let R be the relation in the set N given by R = {(a, b): a = b – 2, b > 6}. 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. (c) None of these the function f(x) = x – [x] has period of (a) π/2 RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. From 4, 5 and 6, we get If A = {1, 2, 3}, and B = {3, 6} then the number of relations from A to B is, 16. Sets are usually denoted by capital letters A, B,C,… and elements are usually denoted by small letters a, b,c,… . (b) 6 (b) 1 Sets, Relations and Functions: Questions 1-7 of 23. Since binary operation on S is a function from S×S to S, therefore total number of Hint: Since, loga k ≥ 0 if a > 1, k ≥ 1 f(-1) = 2 × (-1) – 3 = -2 – 3 = -5 (d) {1, 2, 3}, Answer: (d) {1, 2, 3} Is f a function from Z to Z? (d) None of these, Answer: (b) 2x² + 1 The function f(x) = 10x from R to [0, ∞) is. We can also represent it as in a tabular form. Class 11 Maths Chapter 2 Relations and Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. Jan 07,2021 - Test Level 1: Relations And Functions- 1 | 25 Questions MCQ Test has questions of JEE preparation. So, domain of tan-1 (2x + 1) is R. Question 10. Academic Partner. Here you will find a series of Free MCQ on Production Function and Returns to a Factor for Class 11th. Hint: Multiple Choice Questions (MCQ) for CBSE Class 11-science Mathematics chapters on Topperlearning. If f(x) is an odd differentiable function on R, then df(x)/dx is a/an Home; Courses. The domain of the function f(x) = 1/(x² – 3x + 2) is f(0) = 2 × 0 – 3 = -3 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 … Relations and Functions Extra Questions for Class 12 Mathematics. Let S = {1, 2, 3}. In daily life, relations are like brother and sister, friends, student and teacher and many more. 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. View The Trigonometric Functions Class 11 PPTs online, safely and virus-free! Find x and y if: (i) (4x + 3, y) = (3x + 5, – 2) (ii) (x – y, x + y) = (6, 10) In this chapter, we will study different types of relations and functions, composition of functions, invertible functions and binary operations. Sets, Relations and Functions MCQ Practice Sheet 11. 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. Previous Year Examination Questions 3 ≤ x ≤ 5 a) 2 110 b) 3 121 c) 2 90 d) 2 132 View Answer . 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 function f(x) = sin (πx/2) + cos (πx/2) is periodic with period There are 2 (n*n)-n number of reflexive relations that can be formed. So, f(x) is not defined when x = 1, 2 Posted on February 14, 2017 February 14, 2017 by makoxmcqs. Suppose there are two non-empty sets A and B. ⇒ df(x)/dx is an even function on R. Question 7. So, Domain(R) = {0, -4, 4}, Question 14. Sets, Relations and Functions MCQ Practice Sheets for JEE(Main) Sets, Relations and Functions MCQ Practice Sheet 1 Sets, Relations and Functions MCQ Practice Sheet 2 Hint: = 5x/5 Class 11 Study Notes, Computer Science, Informatics Practices, Physics, Business Studies, Maths, Chemistry, Biology, Economics, Physical Education So, fog is an even function. This contains 15 Multiple Choice Questions for JEE Test: Functions (mcq) to study with solutions a complete question bank. = [{(9x – 6) – 2(2x – 3)}/(2x – 3)]/[{(6x – 4) – 3(2x – 3)}/(2x – 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. (b) {-7, 5, -3} Given, f(x) is an odd differentiable function on R If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to ⇒ f(-x) = -f(x) for all x ∈ R (a) -π/4 ≤ x ≤ π/4 (d) 24, Answer: (a) 4 Hint: Relations & Functions, Class 11 Mathematics R.D Sharma Solutions. (a) 4 log12 x² ≥ 0 Hence it is transitive. ⇒ f(4) = 7-4P4-3 = 3P1 = 3 Now for other integral values of x, y is not an integer. NCERT Solutions of all questions of Chapter 2 Relations and Functions of Class 11 is available for free. 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Explanation: The rank of an equivalence relation is the number of an equivalence classes. Loading... Unsubscribe from Math Mentor? So, fog(1) = 1, Question 4. The domain of the function f(x) = sin-1 (tan x) is Kindly give Chapter 2 Relations and Functions Class 11 Maths MCQs Questions with Answers quickly as it is very essential. nπ -π/4 ≤ x ≤ nπ + π/4, Question 18. fog(x) = f(g(x)) Given, f is an even function and g is an odd function. 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. Two functions f and g are said to be equal if f (c) x³ = {(9x – 6)/(2x – 3) – 2)}/{((6x – 4)/(2x – 3) – 3)} This is the Aptitude Questions & Answers section on & Sets, Relations and Functions& with explanation for various interview, competitive examination and entrance test. Know more about this in Relations and Functions Class 11 Formulae pdf. or own an. = f{-g(x)} {since g is an odd function} (b) 1 Hint: 20. Answer: (a) R 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. (b) R -{1/2} (b) |x| ≥ 1 Glide to success with Doorsteptutor material for KVPY : fully solved questions with step-by-step explanation- practice your way to success. Cancel Unsubscribe. We cannot take pair from the given relation to prove that it is not transitive. (b) (3, 3) (a) Even function If f(x) = (a – x)1/n, a > 0 and n ∈ N, then the value of f(f(x)) is These short solved questions or quizzes are provided by Gkseries. (b) Odd function Given, f(x) = (3x – 2)/(2x – 3) (a) 2x + 1 This set has 8 ordered pairs. (b) {3, 4, 5} binary operations on S is the Learn new and interesting things. As seen in Class XI, functions are special kind of relations. Given Set = {a, b} (b) Odd function 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. 1. ⇒ f(5) = 7-5P5-3 = 2P2 = 2 Solution (ii) Let P denote the set of all straight lines in a plane. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. So, f(A) = (log3 3, log3 27) = (1, 3), Question 9. 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). A function is a relation in which each input has only one output. 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. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions.

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