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Previous Year Question (PYQs)

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




Solution

Explanation

  • Total possible ordered pairs on a set of 10 elements = 10² = 100.
  • A reflexive relation must include all pairs of the form (a,a) for all a ∈ A.
  • Thus, at least 10 pairs must be in R ⇒ m ≥ 10.
  • The maximum relation is the universal relation with all 100 pairs ⇒ m ≤ 100.

✅ Final Answer

The number of ordered pairs m can take any value in the range:
10 ≤ m ≤ 100


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Rajdeep Saha-pic
Rajdeep Saha , NIMCET aspirant
Commented Jan 23 , 2024
The set consists of 10 elements and for relation to be reflexive it must have at least 10 ordered pairs. It has m ordered pairs therefore m ≥ 10

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