Class 12 Relations and Functions Worksheet

1. Q1. Let A = {1, 2, 3}. The number of equivalence relations on A is:
   • 1
   • 2
   • 3
   • 5
2. Q2. A relation R in a set A is called a/an _________ relation if R is reflexive, symmetric, and transitive.
3. Q3. If f: R -> R is defined by f(x) = 3x + 2, then f is:
   • one-one but not onto
   • onto but not one-one
   • bijective
   • neither one-one nor onto
4. Q4. Define a one-one (injective) function.
5. Q5. Let f: N -> N be defined by f(x) = x². Which of the following is true?
   • f is one-one but not onto
   • f is onto but not one-one
   • f is bijective
   • f is neither one-one nor onto

+ 5 more in the printable PDF.