Question 23

Mathematics Function and Relation Hard

Let R be reflexive relation on the finite set a having 10 elements and if m is the number of ordered pair in R, then

(A) \(m\geq10\)
(B) \(m=100\)
(C) \(m=10\)
(D) \(m\leq10\)
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

Given R has m order pairs. \[\] Since R is reflexive relation on A, therefore \( \forall a \in A \), \( (a, a) \in R \) \[\] Then the minimum no. of ordered pairs in R is 10. \[\] Therefore \( m \geq 10 \).