The function f : A → B defined by f(x) = 4x + 7, x ∈ R is (d) 5 – x, Question 41. QUIZ NEW SUPER DRAFT. The domain of the function \(f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}\) where {.} Answer : We have: A = {1, 2} and B = {3, 4} (a) even function (a) Reflexive (b) \(\frac{1}{1+x}\) Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. 13569 plays. (d) Equivalence relation Answer: Chapter 1: Planning In Sports (Important Terms) Chapter 2: Sports Nutrition - All About Balanced Diet (Q & A) (b) Symmetric only thadaway. (d) 2 (b) f(x) = x + 2 (b) many one onto Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is Answer: Answer: If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = \(\frac{a b}{4}\). R is a … For example, (4, 7) is an ordered-pair number; the order is designated by the first element 4 and the second element 7. (c) \(\frac{5 x+4}{3}\), Question 58. Then the number of surjections from A into B is (d) into, Question 14. (d ) f-1(x) = \(\frac{1}{19}\) f(x), Question 43. (d) 5 (d) π (b) \(\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)\) (c) 2, Question 29. A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is- (b) one-one, onto function (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) A = C (a) f(x) = x³ Become our. (c) \(\frac{3}{10}\) Then R is (b) 2n – 2 a * b = \(\frac{ab}{2}\) ∀ a, b ∈ Q ~ {0} is If f : R → R, g : R → R and h : R → R is such that f(x) = x2, g(x) = tanx and h(x) = logx, then the value of [ho(gof)](x), if x = \(\frac{\sqrt{\pi}}{2}\) will be NCERT Book for Class 12 Maths Chapter 1 Relations and Functions is available for reading or download on this page. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. (b) f-1(x) = -f(x) Ordered-Pair Numbers. (d) None of these (c) Both (a) and (b), Question 16. (c) 16, Question 15. Find the identity element in the set I+ of all positive integers defined by a * b = a + b for all a, b ∈ I+. Which of the following functions from Z into Z are bijective? Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). (c) symmetric 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. Then, the relational R is (c) 3x – 4 (b) 1 + x (a) Onto. Students can refer and download Chapter 1 Relations from the given links. (b) onto (b) Many-one (c) equivalence (c) (fof) x = -x (d) None of these, Question 8. Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals 8th - 9th grade . 1. (d) \(\left(\frac{x-7}{2}\right)^{1 / 3}\) Solved examples with detailed answer description, explanation are given and it would be easy to understand Let f(x) = x2 – x + 1, x ≥ \(\frac{1}{2}\), then the solution of the equation f(x) = f-1(x) is Let f: N → R be the function defined by f(x) = \(\frac{2x-1}{2}\) and g: Q → R be another function defined by g (x) = x + 2. (c) 3 Let f : R → R be defind by f(x) = \(\frac{1}{x}\) ∀ x ∈ R. Then f is (a) [1, 3] (c) \((5-x)^{\frac{1}{3}}\) (c) Odd A = {1, 2, 3} which of the following function f: A → A does not have an inverse function Let f : R → R be a function defined by f(x) = x3 + 4, then f is (d) \(\frac{x}{4}\) -5, Question 4. (c) 18 (a) nP2 (b) 2, Question 63. 4 years ago. (a) Reflexive but not symmetric (a) 1 (a) 5, Question 17. Answer: Answer: (b) Transitive and symmetric (b) one-one into 1800-212-7858 / 9372462318. (b) (2n + 1) π/2, n ∈ Z (c) \(\frac{x-4}{5}\) (c) 106! Answer: Class XI Chapter 2– Relations and Functions Multiple Choice Questions 1. (c) f : R+ → R+, f(x) = \(\frac{1}{x^{3}}\) (c) one-one, into function (a) \(\frac{1}{x}\) (b) 16 (c) \(g(x)=\left(a x^{2}+b\right)^{1 / 3}\) If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) = The identity element for the binary operation * defined on Q – {0} as a * b = \(\frac{a b}{2}\) ∀ a, b ∈ Q – {0) is Answer: Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Answer: We can also represent it as in a tabular form. (d) \(\frac{9 x+3}{5}\) (d) -f(x) (b) reflexive, transitive but not symmetric, Question 27. Answer: Answers of all questions of this sheet are given at the end. Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. (a) 0, Question 7. (d) neither one-one nor onto Then f-1(1) is The CSEC Mathematics Syllabus Objective for this section are students should:. Answer: Content in this section of the website is relevant as of June 2011. Then Answer: (b) {nπ + \(\frac{\pi}{4}\); n ∈ Z} So, the cartesian product of A and B is the set of all ordered pairs of elements from A and B. Answer: (d) Equivalence relation, Question 37. (b) 120 (d) g o f, Question 42. Multiple Choice Questions (MCQ) for CBSE Class 11-science Mathematics chapters on Topperlearning. (d) neither symmetric, nor transitive The number of bijective functions from set A to itself when A contains 106 elements is Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. (c) neither transitive nor reflexive but symmetric Sample Questions for Relations and Functions 8. The relation R is defined on the set of natural numbers as {(a, b) : a = 2b}. Once you have completed the test, click on 'Submit Answers for Grading' to get your results. (a) Constant (c ) g-1 o f-1 (c) symmetric, transitive but not reflexive (d) 29 (c) 7, Question 61. If f(x) = \(\frac{3 x+2}{5 x-3}\) then (fof)(x) is (d) None of these, Question 42. Multiple Choice Questions (MCQ) for Relations and Functions - CBSE Class 12-science Mathematics on Topperlearning. If fx x x( ) =+34 52 − , then f(−2) = (A) −49 (B) −1 (C) 9 (D) 23 2.
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