This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 26 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 26 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If any vertical line passes through the graph of a relation no more than once, then it is a function. A) Function Notation. B) Input. C) Output. D) Vertical Line Test. Show Answer Correct Answer: D) Vertical Line Test. 2. Orin has three sets of ordered pairs. Which of Orin's sets represents functions?I. \{(0, 0), (0, 1), (0, 2), (0, 3), (0, 4)II. \{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)III. \{(0, 0), (1, 0), (2, 0), (3, 0), (4, 0) A) Set I. B) Sets I and III. C) Sets II and III. D) All of the above. Show Answer Correct Answer: C) Sets II and III. 3. Is the relation a function?\{(5, 7), (5, 6), (5, 5), (5, 4)\} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 4. The first coordinate of an ordered pair in a relation is the ..... ? A) Range. B) Output. C) Function. D) Input. Show Answer Correct Answer: D) Input. 5. If f:R $\rightarrow$ R be defined by f(x) = 3x$^{2}$-5 and g:R $\rightarrow$ R by g(x) = x/(x$^{2}$ + 1), then g o f is A) (3x$^{2}$-5)/(9x$^{4}$-30x$^{2}$ + 26). B) (3x$^{2}$-5)/(9x$^{4}$-6x$^{2}$ + 26). C) 3x$^{2}$/(x$^{4}$ + 2x$^{2}$-4). D) 3x$^{2}$/(9x$^{4}$ + 30x$^{2}$-2). Show Answer Correct Answer: A) (3x$^{2}$-5)/(9x$^{4}$-30x$^{2}$ + 26). 6. What is the range of the ordered pairs \{(3, 4), (4, 5), (5, 6), (6, 7), (7, 8)\}? A) \{3, 4, 5, 6, 7\}. B) \{4, 5, 6, 7\}. C) \{4, 5, 6, 7, 8\}. D) \{3, 4, 5, 6\}. Show Answer Correct Answer: C) \{4, 5, 6, 7, 8\}. 7. Let A = \{1, 2, 3, ..... n\} and B = \{a, b\}. Then the number of surjections from A into B is A) $np_2$. B) $2^n-2$. C) $2^n-1$. D) None of these. Show Answer Correct Answer: B) $2^n-2$. 8. What is a partially ordered relation? A) A binary relation that is only transitive and antisymmetric. B) A relation that is only reflexive and symmetric. C) A binary relation that is reflexive, antisymmetric, and transitive. D) A binary relation that is symmetric and transitive. Show Answer Correct Answer: C) A binary relation that is reflexive, antisymmetric, and transitive. 9. The domain of the function f(x) = x/(x$^{2}$ + 3x + 2) is A) [-2, -1]. B) R-\{1, 2\}. C) R-\{-1, -2\}. D) R-\{2\}. Show Answer Correct Answer: C) R-\{-1, -2\}. 10. Given g(x) = 4x-7, find g(-9). A) G(-9) = 29. B) G(-9) =-43. C) All the above. D) None of the above. Show Answer Correct Answer: B) G(-9) =-43. 11. Y = mx + b A) Function. B) Relation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Function. 12. \{(-5, a), (1, a), (3, b), (4, c), (1, b)\} is this a function?? A) Function. B) Not a function. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not a function. 13. What do you call the set of all first coordinates of a relation? A) Function. B) Ordinate. C) Domain. D) Range. Show Answer Correct Answer: C) Domain. 14. "All functions are relation, but not all relations are function" . Is the statement is CORRECT? A) Yes. B) No. C) Partly no. D) Partly yes. Show Answer Correct Answer: A) Yes. 15. A relation which contains no elements is called a ..... A) Mapping. B) Subset. C) Null relation. D) Co domain. Show Answer Correct Answer: C) Null relation. 16. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find g(2) + f(-1). A) 7. B) -1. C) 1. D) -7. Show Answer Correct Answer: C) 1. 17. Which of following is a function? A) \{(4, 5), (4, 6), (4, 7)\}. B) \{(3, 4), (4, 6), (-2, 4)\}. C) \{(1, 2), (-1, 2), (1, 4)\}. D) \{(4, 3), (3, 5), (4, 5)\}. Show Answer Correct Answer: B) \{(3, 4), (4, 6), (-2, 4)\}. 18. Formed by the intersection of two number lines, the horizontal axis and the vertical axis A) Coordinate Plane. B) X-axis. C) Y-axis. D) Quadrants. Show Answer Correct Answer: A) Coordinate Plane. 19. Given set A =\{1, 2, 3\} and a relation R = \{(1, 2), (2, 1)\}, the relation R will be A) Reflexive if (1, 1) is added. B) Symmetric if (2, 3) is added. C) Transitive if (1, 1) is added. D) Symmetric if (3, 2) is added. Show Answer Correct Answer: C) Transitive if (1, 1) is added. 20. Let f and g be two functions given by f = \{(0, 1), (2, 0), (3, -4), (4, 2), (5, 7)\} g = \{ (0, 2), (1, 0), (2, 4), (-4, 2), (7, 0)\} then the range of f o g is A) \{0, 2, 3, 4, 5\}. B) \{-4, 1, 0, 2, 7\}. C) \{1, 2, 3, 4, 5\}. D) \{0, 1, 2\}. Show Answer Correct Answer: D) \{0, 1, 2\}. 21. Which of the following is not a property of an Equivalence Relation? A) Reflexive. B) Symmetric. C) Transitive. D) Antisymmetric. Show Answer Correct Answer: D) Antisymmetric. 22. Evaluate the function f(x) = 1/2x-6 when x = 2. A) 1. B) -5. C) -2. D) 10. Show Answer Correct Answer: B) -5. 23. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find f(2x). A) 6x + 4. B) 6x-4. C) 6x$^{2 }$-4. D) -6x$^{2}$-4. Show Answer Correct Answer: B) 6x-4. 24. The maximum number of equivalence relation on the set A=\{1, 2, 3\} is A) 1. B) 2. C) 3. D) 5. Show Answer Correct Answer: D) 5. 25. If \{ ( a, 8), (6, b) \} represents an identity function, then the value of a and b are respectively A) (8, 6). B) (8, 8). C) (6, 8). D) (6, 6). Show Answer Correct Answer: A) (8, 6). ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 2 Relations And Functions Quiz 1Class 11 Mathematics Chapter 2 Relations And Functions Quiz 2Class 11 Mathematics Chapter 2 Relations And Functions Quiz 3Class 11 Mathematics Chapter 2 Relations And Functions Quiz 4Class 11 Mathematics Chapter 2 Relations And Functions Quiz 5Class 11 Mathematics Chapter 2 Relations And Functions Quiz 6Class 11 Mathematics Chapter 2 Relations And Functions Quiz 7Class 11 Mathematics Chapter 2 Relations And Functions Quiz 8Class 11 Mathematics Chapter 2 Relations And Functions Quiz 9Class 11 Mathematics Chapter 2 Relations And Functions Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books