If A = {1, 2, 3}, then the relation R = {(1, 1), (2, 2), (3, 3)} on set A is called:
Model Answer & Options
Source: Extra PracticeUniversal Relation
Void Relation
Identity Relation
Inverse Relation
Explanation
A relation R on set A is an Identity Relation if every element of A is related to itself only. Here, each element of {1, 2, 3} is paired with itself and nothing else. Universal relation would contain all 9 possible pairs. Void relation would be empty. Inverse relation refers to reversing the pairs of another relation.
Take Topic Quiz
Test your understanding of this topic with instant AI feedback.
Related Questions
- →
Let A = {1, 2, 3} and B = {x, y}. What is the total number of non-empty relations that can be defined from set A to set B?
- →
Let R be a relation on the set of natural numbers N defined by R = {(x, y) : x + 2y = 10; x, y ∈ N}. Which of the following represents the Range of R?
- →
If the Cartesian product A × B has 9 elements and contains the ordered pairs (-1, 0) and (0, 1), which of the following is set A?
- →
Let R be a relation on the set of natural numbers N defined by R = {(x, y) : x + 2y = 8}. The range of R is:
- →
If the relation R = {(x, x^3) : x is a prime number less than 10}, then the range of R is: