(a) \(\log _{10}(2-x)\) The number of binary operations that can be defined on a set of 2 elements is (c) 7 (c) [0, 2] Answer: (a) a bijection 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. (a) 5x + 3 (b) 1 (a) \(\frac{3+4 x}{6 x-4}\), Question 57. Let f : R → R be a function defined by \(f(x)=\frac{e^{|x|}-e^{-x}}{e^{x}+e^{-x}}\) then f(x) is If loading fails, click here to try again, If A = {1, 2, 3, 4, 5}, then the number of proper subsets of, A is always a subset of the complement of B, A and the complement of B are always non-disjoint. (c) \(\frac{1}{2} \log _{10}(2 x-1)\) (a) \(g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)^{1 / 2}\) (c) Both (a) and (b), Question 20. (d) 4 Question 2: In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. A = Set of all values (x, y) : x2 + y2 = 25 = 52. The number of bijective functions from set A to itself when A contains 106 elements is (c) commutative Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 1 Relations and Functions. Dear User, Kindly login/register to view answer & explanation of each question. (b) {nπ + \(\frac{\pi}{4}\); n ∈ Z} B. (c) \(\frac{1}{x+1}\) (a) not associative (d) \(g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}\), Question 6. (d) 5 (d) \(\frac{3}{40}\) (c) equivalence (a) \((x+5)^{\frac{1}{3}}\) (c) surjection but not injection Relation: If M and N are two non-empty sets, then a relation R from M to N is a subset of M x N. If R ⊆ M X N and (m,n) ∈ R, it indicates that “m” is related to “n” by the relation R, and written as mRn. 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. The function f : A → B defined by f(x) = 4x + 7, x ∈ R is (a) one-one (b) Many-one (c) Odd (d) Even Answer: (a) one-one. (c) Both (a) and (b) Answer: (a) \(\frac{3+4 x}{6 x-4}\) Question 4. If f(x) = \(\frac{3 x+2}{5 x-3}\) then (fof)(x) is (b) one-one into Let A and B be two sets in the same universal set. (a) a one-one function Answer: n} and B = {a, b}. If f : [1, ∞) → [2, ∞) is given by f(x) = x + \(\frac{1}{x}\), then f-1 equals to (c) R-1 is not defiend If you want to join our unlimited test series, then please write us at, We provide you the most simplest and user friendly web portal to conduct, Conduct online exam/test, without internet and update it as per internet/electricity availability within 3 days, Copyright Â© 2020, All right reserved | A Unit of. Answer: Range of \(f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}\) Answer: (b) 30 (c) 4 Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. (c) f(x) (b) 3 (c) bijective Answer: (b) one-one into (b) \((x-5)^{\frac{1}{3}}\), Question 33. We prepare this platform on the base of CBSE. R−1 = {(5, 4) ; (4, 1) ; (6, 4) ; (6, 7) ; (7, 3)}. Let f : R → R be defind by f(x) = \(\frac{1}{x}\) ∀ x ∈ R. Then f is (d) 2 Students can solve NCERT Class 12 Maths Relations and Functions MCQs Pdf with Answers to know their preparation level. The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is A. (b) one-one but not onto (a) f : R → R, f(x) = 3x + 1 a) 2 90 b) 2 100 c) 2 81 d) 2 60 View Answer Since (4, 5) ∈ R and (5, 4) ∈ R−1, we have (4, 4) ∈ R−1 o R, Similarly, (1, 4) ∈ R, (4, 1) ∈ R−1 ⇒ (1, 1) ∈ R−1 o R. (4, 6) ∈ R, (6, 4) ∈ R−1 ⇒ (4, 4) ∈ R−1 o R, (4, 6) ∈ R, (6, 7) ∈ R−1 ⇒ (4, 7) ∈ R−1 o R. (7, 6) ∈ R, (6, 4) ∈ R−1 ⇒ (7, 4) ∈ R−1 o R, (7, 6) ∈ R, (6, 7) ∈ R−1 ⇒ (7, 7) ∈ R−1 o R. (3, 7) ∈ R, (7, 3) ∈ R−1 ⇒ (3, 3) ∈ R−1 o R. Hence, R−1 o R = {(1, 1); (4, 4); (4, 7); (7, 4), (7, 7); (3, 3)}. (c) \(\frac{5 x-2}{3}\) (a) [0, π] Answer: The function f : R → R given by f(x) = x3 – 1 is (b) f : R → [0, ∞), f(x) = x2 1. In a certain town 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. (c) \(\frac{x-\sqrt{x^{2}-4}}{2}\) (c) Equivalence Question 13: If f (x) = a cos (bx + c) + d, then what is the range of f (x)? We have provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well. (b) not commutative (b) 30, Question 62. The number of proper subsets of the set {1, 2, 3} is. (a) \(\frac{20}{3}\), Question 64. (a) \(\frac{20}{3}\) (a) 35 Answer: Sets, Functions and Groups Multiple Choice Questions (MCQs) Page-1. (c) symmetric, transitive but not reflexive (d) \(\frac{9+2 x}{6 x-4}\) (c) x = \(\frac{1}{2}\) (b) 6 The domain of the function \(f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}\) where {.}

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