This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Evaluate h(x) = $x^2-6$ A) 19. B) -31. C) 31. D) -19. Show Answer Correct Answer: A) 19. 2. Let A = \{a, b \}. Then number of one-one functions from A to A possible are A) 2. B) 4. C) 1. D) 3. Show Answer Correct Answer: A) 2. 3. If f(x) =-4x + 5 and g(x) = x$^{2}$ + x, find g(-8). A) 72. B) 56. C) -72. D) -56. Show Answer Correct Answer: B) 56. 4. Y < 3x-2 A) Function. B) Relation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Relation. 5. The number of relations on a set containing 3 elements is ..... A) 9. B) 81. C) 512. D) 1024. Show Answer Correct Answer: C) 512. 6. What is a Relation? A) This is a mapping (or pairing) of input values with output values. B) This is the set of all first elements, x-coordinate, or the abscissa of the ordered pairs. C) This is the set of all second elements, y-coordinate, or the ordinate of the ordered pairs. D) This is a relation in which the first element, x-coordinate, or abscissa in the ordered pairs corresponds to exactly one second element, y-coordinate, or ordinate. Show Answer Correct Answer: A) This is a mapping (or pairing) of input values with output values. 7. For real numbers x and y, define xRy if and only if $x-y+\sqrt{2}$ A) Reflexive. B) Symmetric. C) Transitive. D) None of these. Show Answer Correct Answer: A) Reflexive. 8. Explain the concept of closure in relation to binary relations. A) Closure is the initial state of a binary relation before any operations are applied. B) Closure is the process of removing duplicates from a binary relation. C) Closure refers to the total number of elements in a binary relation. D) Closure is the extension of a binary relation to include all pairs that satisfy a specific property, such as transitivity. Show Answer Correct Answer: D) Closure is the extension of a binary relation to include all pairs that satisfy a specific property, such as transitivity. 9. Evaluate the function, f(x)=1/3x + 6, when x=3. A) Y = 7. B) Y = 9. C) Y = 2. D) Y = 7/3. Show Answer Correct Answer: A) Y = 7. 10. Given the relation A = \{(5, 2), (7, 4), (9, 10), (x, 5)\}. Which of the following values for x will make relation A a function? A) 7. B) 9. C) 4. D) 5. Show Answer Correct Answer: C) 4. 11. F:A $\rightarrow$ B . If f is bijective function then which of the following is true A) Number of elements in range of f = n(A). B) Number of elements in range of f = n(B). C) N(A) = n(B). D) All of the above. Show Answer Correct Answer: C) N(A) = n(B). 12. How do you evaluate a function at a specific point? A) Substitute the given x-value into the function's equation and solve for y. B) Multiply the function's equation by the x-value. C) Add the x-value to the function's equation. D) Differentiate the function's equation with respect to x. Show Answer Correct Answer: A) Substitute the given x-value into the function's equation and solve for y. 13. What is the property of an onto (or surjective) function? A) F(x) = f(y). B) F(x) = x. C) F(x) = y. D) F(x1) = f(x2). Show Answer Correct Answer: C) F(x) = y. 14. Which of the following ordered pairs, when graphed, would NOT pass the vertical line test for functions? A) \{(2, -3), (0, -1), (2, 1), (4, 3)\}. B) \{(-3, 2), (-1, 0), (1, 2), (3, 4)\}. C) \{(-15, 0), (-7, 4), (1, 8), (9, 12)\}. D) \{(0, -15), (4, -7), (8, 1), (12, 9)\}. Show Answer Correct Answer: A) \{(2, -3), (0, -1), (2, 1), (4, 3)\}. 15. Which of the following relations is NOT function? A) \{(1, 2), (2, 3), (2, 5)\}. B) \{(1, 1), (2, 2), (3, 3)\}. C) \{(0, 1), (3, 1), (4, 2)\}. D) \{(1, 2), (3, 4), (5, 6)\}. Show Answer Correct Answer: A) \{(1, 2), (2, 3), (2, 5)\}. 16. Calculate the domain of the function m(x) = 1/x. A) All real numbers except x = 2. B) All real numbers except x =-1. C) All real numbers except x = 1. D) All real numbers except x = 0. Show Answer Correct Answer: D) All real numbers except x = 0. 17. If f(x) = ax + b, where a and b are integers, f(-1) =-5 and f(3) = 3, then a and b are equal to A) A =-3, b =-1. B) A = 2, b =-3. C) A = 0, b = 2. D) A = 2, b = 3. Show Answer Correct Answer: B) A = 2, b =-3. 18. What is a relation in mathematics? A) A relation is a collection of random numbers. B) A relation is a single pair of elements from two sets. C) A relation is a set of ordered pairs that defines a relationship between elements of two sets. D) A relation is a function that maps one set to another. Show Answer Correct Answer: C) A relation is a set of ordered pairs that defines a relationship between elements of two sets. 19. F(x) = 2x$^{2}$ and g(x) = $\frac{1}{3x}$ A) $\frac{3}{2x^2}$. B) $\frac{2}{3x^2}$. C) $\frac{2}{9x^2}$. D) $\frac{1}{6x^2}$. Show Answer Correct Answer: C) $\frac{2}{9x^2}$. 20. An arrow diagram is a ..... of a relation . A) Roster. B) Visual representation. C) Builder method. D) Graphical representation. Show Answer Correct Answer: B) Visual representation. 21. $y=x^2+3$ A) $y=\pm\sqrt{x-3}$. B) $y=\sqrt{-x+3}$. C) $y=\pm\sqrt{x+3}$. D) $y=\pm\sqrt{-x-3}$. Show Answer Correct Answer: A) $y=\pm\sqrt{x-3}$. 22. If set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is A) 720. B) 120. C) 0. D) None of these. Show Answer Correct Answer: C) 0. 23. The principal value branch of $\sec^{-1}x$ A) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\left\{0\right\}$. B) $\left[0, \pi\right]-\left\{\frac{\pi}{2}\right\}$. C) $\left(0, \\pi\right)$. D) $\left(-\frac{\pi}{2}, \\frac{\pi}{2}\right)$. Show Answer Correct Answer: B) $\left[0, \pi\right]-\left\{\frac{\pi}{2}\right\}$. 24. Given a set A = \{a, b, c\} Then the identity relation is the set A) \{(a, c), (a, b)\}. B) \{(a, a), (b, b), (c, c)\}. C) \{(a, a), (b, a), (c, a)\}. D) \{(a, a), (b, b), (c, c), (a, c)\}. Show Answer Correct Answer: C) \{(a, a), (b, a), (c, a)\}. 25. If the ordered pairs (a+2, 4) and (5, 2a+b) are equal then (a, b) is ..... A) (-2, 3). B) (3, 2). C) ( 3, -2). D) None of the above. Show Answer Correct Answer: C) ( 3, -2). ← 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 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 10Class 11 Mathematics Chapter 2 Relations And Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books