Class 12 Relations and Functions Worksheet
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Q1 · MCQ · 1 mark
Let A = {1, 2, 3}. The number of equivalence relations on A is:
Q2 · FILL · 1 mark
A relation R in a set A is called a/an _________ relation if R is reflexive, symmetric, and transitive.
Q3 · MCQ · 1 mark
If f: R -> R is defined by f(x) = 3x + 2, then f is:
Q4 · SHORT · 2 marks
Define a one-one (injective) function.
Q5 · MCQ · 1 mark
Let f: N -> N be defined by f(x) = x². Which of the following is true?
Q6 · FILL · 1 mark
If f: A -> B and g: B -> C are two functions, then the composition of f and g, denoted as gof, is a function from A to _________.
Q7 · MCQ · 1 mark
Consider a set A = {a, b, c} and R = {(a, a), (b, b), (c, c), (a, b), (b, a)}. Is R a transitive relation?
Q8 · SHORT · 2 marks
Given f(x) = 2x + 3 and g(x) = x², find (gof)(x).
Q9 · MCQ · 1 mark
Let R be the relation in the set N given by R = {(a, b): a = b - 2, b > 6}. Which of the following belongs to R?
Q10 · FILL · 1 mark
A function f: A -> B is said to be _________ if every element in B is the image of some element in A.