Relations – Cartesian Product, Domain, Range, Co-domain

Grade 11 Maths — Relations – Cartesian Product, Domain, Range, Co-domain: 25 practice questions with instant scoring and explanations.

1. If A = {1, 2} and B = {a, b}, then A × B contains how many ordered pairs?
2. For A = {1, 2} and B = {a, b}, find A × B:
3. If A × B has 12 elements and |A| = 3, then |B| = ?
4. If A × B = B × A, then:
5. A relation R from set A to set B is a:
6. For relation R = {(1,2), (2,3), (3,4)}, the domain is:
7. For relation R = {(1,2), (2,3), (3,4)}, the range is:
8. The co-domain of a relation is:
9. For R = {(a,1), (b,2), (c,2)}, identify which of these is true:
10. If A = {1, 2, 3} and B = {x, y}, how many relations exist from A to B?
11. The ordered pair (a, b) is equal to (c, d) if and only if:
12. For A = {2, 3, 4} and B = {4, 6, 8, 9}, relation R: 'a divides b'. Find domain of R:
13. In the relation R = {(1,1), (2,4), (3,9)}, if the co-domain is {1, 4, 9, 16}, then range is:
14. If n(A) = m and n(B) = n, then the number of relations from A to B is:
15. For A = {1, 2} and B = {3, 4, 5}, find B × A:
16. If A = {-1, 0, 1} and R = {(a, a²) : a ∈ A}, then R is:
17. The range of a relation is always:
18. For relation R on set A = {1, 2, 3} defined by R = {(x,y) : x + y = 4}, find R:
19. If R is a relation from A to B, then R ⊆ ?
20. An inverse relation R⁻¹ is obtained by:
21. If R = {(1,2), (2,3), (3,1)}, then R⁻¹ = ?
22. The identity relation on A = {1, 2, 3} is:
23. For A = {1, 2, 3, 4}, the universal relation from A to A is:
24. The number of ordered pairs in R = A × A when n(A) = 3 is:
25. If (x+1, y) = (3, 4), then x = ? and y = ?