CBSE Class 11 (Commerce) Sets, Relations and Functions — practice questions
70 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Commerce) Sets, Relations and Functions in the app →The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:The double angle formula sin 2A equals:A set is described as a collection of objects that is:Listing out every element between braces is the:Describing members by a shared property is the:In roster form an element that repeats is written:A set containing no element at all is called the:The number of distinct elements of a set S is written as:A set whose element count is a natural number is:The set of all natural numbers is an example of a set that is:A is a subset of B when every element of A also lies in:The collection of all subsets of a set is called its:The set holding everything under discussion is called:The universal set is usually written with the letter:In population studies, the universal set is all the:Diagrams drawn to picture sets and their relations are called:The set of even prime numbers greater than two is:Counting the elements of a set counts only those that are:For a set to be well defined, membership must be:The empty set written in braces holds how many elements?A set whose elements share one common property is written in:The universal set for the integers can be taken as the:A set with a countable and finite number of members is:Elements of a set in roster form are separated by:If A has 5 elements and B has 4 elements, how many elements does A × B have?If P or Q is the null set, what is P × Q?Two ordered pairs are equal exactly when which condition holds?If (x + 1, y - 2) = (3, 1), what are the values of x and y?For P = {a, b, c} and Q = {r}, how do P × Q and Q × P compare?What is an element (a, b, c) of A × A × A called?Let A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}. How many elements are in A × (B ∪ C)?If P = {1, 2}, how many elements are in P × P × P?If R is the set of real numbers, what does R × R represent?Which geometric set do the ordered triplets in R × R × R describe?If n(A) = 3 and n(B) = 2, how many different relations from A to B exist?How many relations can be defined on a set with exactly 2 elements?The set of all first elements of the pairs in a relation R is called its what?How does the range of a relation from A to B relate to B?On A = {1, 2, 3, 4, 5, 6}, R = {(x, y) : y = x + 1}. How many pairs does R have?Is R = {(x, y) : y = x + 1} from {1,...,6} to itself a function?For R = {(x, y) : y = 2x, x, y in N}, what is the range?Why is {(2,2), (2,4), (3,3), (4,4)} not a function?Is R = {(2,1), (3,1), (4,2)} a function?In a function, no two distinct ordered pairs may share which entry?For a function f : A → B, what is the domain of f?A function whose domain and range both lie within R is called what?If f : N → N is defined by f(x) = 2x + 1, what is f(5)?The identity function f(x) = x is plotted as what?Where does the line f(x) = 3 lie?What is the domain of f(x) = 1/x?For f(x) = x² defined on R, what is the range?For the modulus function f(x) = |x|, what is f(-7)?For the signum function, what is f(-5) + f(0) + f(8)?If f(x) = [x] is the greatest integer function, what is f(3.7)?The greatest integer function [x] returns which value?How is (f + g)(x) defined for real functions f and g on X?The product (fg)(x) = f(x) g(x) is also called what?The quotient f/g of two real functions is defined provided what holds?If f(x) = x² and g(x) = 2x + 1, what is (f + g)(x)?A function f(x)/g(x), with f and g polynomials and g(x) ≠ 0, is called what?Which three properties together define an equivalence relation?A binary relation equals its converse exactly when it has which property?The cardinality of A × B equals what?If A is infinite and B is non-empty, what can be said of A × B?On A = {1, 2, 3}, how many pairs does R = {(x, y) : x < y} contain?If A = {1, 2} and B = {3, 4}, which pair is NOT in A × B?If n(A × B) = 15 and n(A) = 3, what is n(B)?Three states each pair with 3 licence codes as (state, code). How many pairs result?Is the code (DL, 01) the same as the code (01, DL)?What is the domain of f(x) = 1/(x - 2) among real numbers?