Relations – Cartesian Product, Relations, Types of Relations

Grade 11 Maths Higher — Relations – Cartesian Product, Relations, Types of Relations: 25 practice questions with instant scoring and explanations.

1. If A = {1, 2} and B = {a, b, c}, then n(A × B) =
2. The Cartesian product A × B = B × A is true if and only if:
3. A relation R on set A is reflexive if:
4. A relation R on set A is symmetric if:
5. A relation that is reflexive, symmetric, and transitive is called:
6. If A = {1, 2, 3} and R = {(1,1), (2,2), (3,3), (1,2), (2,1)}, is R transitive?
7. The relation 'is equal to' on the set of real numbers is:
8. For a relation R ⊆ A × B, the domain of R is:
9. The range of a relation R ⊆ A × B is:
10. If A = {1, 2, 3}, then the number of relations on A is:
11. The inverse of a relation R is denoted as R⁻¹ and is defined as:
12. A relation R on set A is antisymmetric if:
13. The relation 'divides' (a | b) on positive integers is:
14. If R = {(x,y) : y = 2x, x ∈ {1,2,3}}, then R in roster form is:
15. The composition of relations R and S is denoted as R ∘ S and means:
16. If A = {a, b} and B = {1, 2, 3}, then A × B has ____ elements and B × A has ____ elements.
17. The relation 'is perpendicular to' on the set of lines in a plane is:
18. A relation R is a function if:
19. For relations on finite sets, if n(A) = m and n(B) = n, the number of relations from A to B is:
20. The relation 'is congruent to' (≡) modulo n on integers is:
21. If R = {(1,a), (2,b), (3,c)}, then R⁻¹ =
22. A relation R on A is called an order relation if it is:
23. The relation '≤' on the set of real numbers is:
24. If R is a relation from A to B and S is a relation from B to C, then S ∘ R is:
25. If A and B are disjoint relations, then their intersection is: