mcq on sets, relations and functions

Answer: (a) f is bijective In set theory, Sets, relations and functions are three different concepts but equally important for JEE Main preparation. (d) 6 1. Let $$f(x)=\frac{x-1}{x+1}$$, then f(f(x)) is Mohini April 15, 2020 at 4:40 am. Question 9: If f (x) = x2−1x2+1\frac{x^2-1}{x^2+1}x2+1x2−1​, for every real number. (a) $$\frac{3}{160}$$, Question 14. Consider the following statements in this regard: The relation "is subset of" on the power set, Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. (c) Equivalence The questions from the previous years of JEE Main from this topic are present on this page, along with a detailed solution for each question. (a) $$\frac{1}{x}$$ Question 6: If f (x) = cos (log x), then find the value of f (x) * f (4) − [1 / 2] * [f (x / 4) + f (4x)]. (b) 30, Question 62. 7. (a) one-one and onto Read More. (a) Commutative (a) 3 (d) 33 (d) 0, Question 21. Consider the binary operation * on Q defind by a * b = a + 12b + ab for a, b ∈ Q. You have not finished your quiz. (b) 1 (d) None of these (c) Transitive only 2000 families own both a car and a phone. Please visit using a browser with javascript enabled. If f : [1, ∞) → [2, ∞) is given by f(x) = x + $$\frac{1}{x}$$, then f-1 equals to Answer: Answer: These questions include all the important concepts and formulae. B. (c) Both (a) and (b), Question 20. Free download in PDF Set Theory Multiple Choice Questions and Answers for competitive exams. (a) 5 Set operations in programming languages: Issues about data (d) Even (d) None of these The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is (b) (2n + 1) π/2, n ∈ Z Answer: (b) {nπ + $$\frac{\pi}{4}$$; n ∈ Z}, Question 35. (c) (fof) x = -x Taking log on both sides, we get x = logy. (d) (0, 2) Then, C Set. (c) Both (a) and (b) (a) One-one Let f : R → R, g : R → R be two functions such that f(x) = 2x – 3, g(x) = x3 + 5. (c) $$\frac{x-\sqrt{x^{2}-4}}{2}$$ Answer: Set: A collection of well defined objects which are distinct from each other. (a) one-one, Question 2. (c) Both (a) & (b) Sets Relations and Functions JEE Mains Questions. Question 2: In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. (c) g is bijective on R 5. Question 1: If A = [(x, y) : x2 + y2 = 25] and B = [(x, y) : x2 + 9y2 = 144], then A ∩ B contains _______ points. November Offer : Online Exam Software Starts @ Rs.5000/- only. Save my name, email, and website in this browser for the next time I comment. Relation and function. (b) one-one into, Question 48. 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 Then * is Question 1. Question 5. Answer: (d) None of these, Question 54. Answer: Set Theory Basic building block for types of objects in discrete mathematics. (c) commutative (d) $$1+\sqrt{x^{2}-4}$$ RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, Maths MCQs for Class 12 Chapter Wise with Answers, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. Answer: (c) $$\frac{7}{2}$$ (b) $$(x-5)^{\frac{1}{3}}$$, Question 33. (b) Many-one Then A – B = (a) A Ç B (b) A ¢ Ç B (c) A Ç B ¢ (d) None of these . (c) $$\frac{1}{2} \log _{10}(2 x-1)$$ We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (c) 16 (a) f is bijective, Question 44. 1. (c) $$\left(\frac{x-2}{7}\right)^{1 / 3}$$ (a) one-one (d) neither one-one nor onto Students can expect two-three questions from this chapter in the JEE … (d) None of these Question 3: Let R be the relation on the set R of all real numbers defined by a R b if and only if |a − b| ≤ 1. (b) $$\frac{x}{1+x^{2}}$$ (d) 0 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. (b) $$\left(x-\frac{7}{2}\right)^{1 / 3}$$ Find f-1. (b) ±2 (a) one-one onto Answer: In a certain town 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. Question 7: Let f : R → R be defined by f (x) = 2x + |x|, then f (2x) + f (−x) − f (x) = _______. Answer: Go To Download Page Close. B Function. (d) Equivalence relation Answer: (b) 2n – 2 (b) 1 Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. Practice JEE Main Important Topics Questions solved by … Question 2. (d) $$\left(\frac{x-7}{2}\right)^{1 / 3}$$ Reply. Answer: − √[1 + (√−3)2] ≤ (sinx − √3 cosx) ≤ √[1 + (√−3)2]. (a) one-one onto 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). (c) $$\frac{3-4 x}{6 x-4}$$ (b) 2 (c) 3 Let A = {1, 2, 3, ….