This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 11 (38 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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: B) R-{-1, -2}. 2. 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. 3. {(-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. 4. What do you call the set of all first coordinates of a relation? A) Domain. B) Function. C) Ordinate. D) Range. Show Answer Correct Answer: A) Domain. 5. "All functions are relation, but not all relations are function" . Is the statement is CORRECT? A) Partly yes. B) No. C) Partly no. D) Yes. Show Answer Correct Answer: D) Yes. 6. A relation which contains no elements is called a ..... A) Null relation. B) Mapping. C) Subset. D) Co domain. Show Answer Correct Answer: A) Null relation. 7. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find g(2) + f(-1). A) 1. B) -7. C) -1. D) 7. Show Answer Correct Answer: A) 1. 8. Formed by the intersection of two number lines, the horizontal axis and the vertical axis A) Coordinate Plane. B) Quadrants. C) X-axis. D) Y-axis. Show Answer Correct Answer: A) Coordinate Plane. 9. 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) {-4, 1, 0, 2, 7}. B) {0, 1, 2}. C) {1, 2, 3, 4, 5}. D) {0, 2, 3, 4, 5}. Show Answer Correct Answer: B) {0, 1, 2}. 10. Which of the following is not a property of an Equivalence Relation? A) Transitive. B) Symmetric. C) Reflexive. D) Antisymmetric. Show Answer Correct Answer: D) Antisymmetric. 11. Evaluate the function f(x) = 1/2x-6 when x = 2. A) -2. B) 1. C) -5. D) 10. Show Answer Correct Answer: C) -5. 12. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find f(2x). A) 6x$^{2 }$-4. B) 6x + 4. C) 6x-4. D) -6x$^{2}$-4. Show Answer Correct Answer: C) 6x-4. 13. The maximum number of equivalence relation on the set A={1, 2, 3} is A) 1. B) 5. C) 2. D) 3. Show Answer Correct Answer: B) 5. 14. If { ( a, 8), (6, b) } represents an identity function, then the value of a and b are respectively A) (6, 6). B) (8, 8). C) (6, 8). D) (8, 6). Show Answer Correct Answer: D) (8, 6). 15. Which set of values is a function? A) (9, 5) (10, 5) (9, -5) (10, -5). B) (3, 4) (4, -3) (7, 4) (3, 8). C) (2, -2) (5, 9) (5, -7) (1, 4). D) (6, -5) (7, -3) (8, -1) (9, 1). Show Answer Correct Answer: D) (6, -5) (7, -3) (8, -1) (9, 1). 16. Which function has a graph that is a straight line passing through the origin? A) Polynomial Function. B) Constant Function. C) Identity Function. D) Rational Function. Show Answer Correct Answer: C) Identity Function. 17. Evaluate f(-5) if f(x) =-2x-12 A) -19. B) -2. C) -22. D) -5. Show Answer Correct Answer: B) -2. 18. Patrick earns $ 20 for every lawn that he mows. Write an equation to represent the tootal amount of money (t) he earns from mowing (n) lawns. A) T = 20n. B) T = n + 20. C) N = 20t. D) T = n-20. Show Answer Correct Answer: A) T = 20n. 19. Using the ordered pairs shown, create a relation containing three ordered pairs with a range of {-3, 2, 4}. A) {(-1, -3), (1, 2), (2, 4)}. B) {(4, -2), (0, 3), (2, 4)}. C) {(-3, 0), (1, 2), (2, 4)}. D) {(4, -2), (-1, -3), (1, 2)}. Show Answer Correct Answer: A) {(-1, -3), (1, 2), (2, 4)}. 20. Which of the following is a one-to-many relation? A) {(0, 1), (2, 3), (4, 5)}. B) {(1, 1), (2, 2), (3, 3)}. C) {(0, 1), (0, 2), (1, 3)}. D) {(1, 2), (2, 2), (3, 3)}. Show Answer Correct Answer: C) {(0, 1), (0, 2), (1, 3)}. 21. Solve $7p-4+12p=-3\left(5+p\right)$ A) P = $\frac{1}{2}$. B) P = 2. C) P = $-\frac{1}{2}$. D) P =-2. Show Answer Correct Answer: C) P = $-\frac{1}{2}$. 22. For real numbers x and y define xRy if and only if x-y+sqrt root(2) is an irrational number. Then the relation R is A) Reflexive. B) Symmetric. C) Transitive. D) None of the above. Show Answer Correct Answer: A) Reflexive. 23. A relation pairs ..... A) Ordered Pairs. B) Words with Math. C) People together. D) Inputs with outputs. Show Answer Correct Answer: D) Inputs with outputs. 24. For the function, f(x)= 2-3x, find f(-4) A) 12. B) 14. C) -10. D) -5. Show Answer Correct Answer: B) 14. 25. Which relation has a domain of {3, 7} and a range of {0, 5}? A) {(3, 0), (7, 0), (3, 5), (7, 5)}. B) {(7, 0), (5, 7), (3, 5), (7, 5)}. C) {(3, 5), (3, 7), (0, 5), (0, 3)}. D) {(3, 0), (3, 5), (3, 7), (7, 5)}. Show Answer Correct Answer: A) {(3, 0), (7, 0), (3, 5), (7, 5)}. 26. F={(1, 3), (2, 3), (3, 3), (4, 3)} A) Constant function. B) Identity function. C) All the above. D) None of the above. Show Answer Correct Answer: A) Constant function. 27. The value of $\cos^{-1}\left(\cos\frac{14\pi}{3}\right)$ A) $\frac{2\pi}{3}$. B) $\frac{\pi}{3}$. C) $\frac{5\pi}{3}$. D) $\frac{4\pi}{3}$. Show Answer Correct Answer: A) $\frac{2\pi}{3}$. 28. Which quadrant is (-4, 5) in? A) Q 3. B) Q 2. C) Q 1. D) Q 4. Show Answer Correct Answer: B) Q 2. 29. A ..... is a set of ordered pairs. A) Domain. B) Relation. C) Function. D) Cartesian product. Show Answer Correct Answer: B) Relation. 30. How would you write y = 2x-3 in function notation? A) Y = 2x-3. B) F = 2x-3. C) F(x) = 2x-3. D) None of the above. Show Answer Correct Answer: C) F(x) = 2x-3. 31. A set of ordered pairs is called what?{(0, 1), (1, 2), (3, 4)} A) The domain. B) A relation. C) The range. D) A function. Show Answer Correct Answer: B) A relation. 32. The elements in A mapped onto itself in B A) Many to one function. B) Identity Function. C) Constant Function. D) One to one Function. Show Answer Correct Answer: B) Identity Function. 33. A function is a special relationship where each input has a single output. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 34. What is the range of the function f(x) = x-2 for x values in the set {3, 4, 5}? A) {2, 3, 4}. B) {1, 2, 3}. C) {0, 1, 2}. D) {1, 2, 4}. Show Answer Correct Answer: B) {1, 2, 3}. 35. The value of $\sin^{-1}\left(\sin\frac{3\pi}{5}\right)$ A) $\frac{3\pi}{5}$. B) $\frac{2\pi}{5}$. C) $\frac{\pi}{5}$. D) $-\frac{\pi}{5}$. Show Answer Correct Answer: B) $\frac{2\pi}{5}$. 36. Use the relation:M = {(3, 6), (4, 4), (3, 4), (5, 8)}What is the range of Set M? A) {6, 4, 4, 8}. B) {4, 6, 8}. C) {3, 4, 5}. D) {3, 4, 3, 5}. Show Answer Correct Answer: B) {4, 6, 8}. 37. The value of $\cos^{-1}\left(\cos\frac{\text{3}\pi}{2}\right)$ A) $\frac{\text{5}\pi}{\text{2}}$. B) $\frac{\pi}{2}$. C) $\frac{\text{7}\pi}{\text{2}}$. D) $\frac{3\pi}{\text{2}}$. Show Answer Correct Answer: B) $\frac{\pi}{2}$. 38. 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 $\circ$ A) {1, 2, 3, 4, 5}. B) {0, 2, 3, 4, 5}. C) {-4, 1, 0, 2, 7}. D) {0, 1, 2}. Show Answer Correct Answer: D) {0, 1, 2}. ← PreviousRelated QuizzesScience QuizzesClass 11 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books