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) \(m\leq10\)
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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 \( m \geq 10 \).

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