Operations on Relations MCQ Quiz in मराठी - Objective Question with Answer for Operations on Relations - मोफत PDF डाउनलोड करा

Last updated on Apr 20, 2025

पाईये Operations on Relations उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). हे मोफत डाउनलोड करा Operations on Relations एमसीक्यू क्विझ पीडीएफ आणि बँकिंग, एसएससी, रेल्वे, यूपीएससी, स्टेट पीएससी यासारख्या तुमच्या आगामी परीक्षांची तयारी करा.

Latest Operations on Relations MCQ Objective Questions

Top Operations on Relations MCQ Objective Questions

Operations on Relations Question 1:

Let R be a relation such that R = {(1, 2), (9, 7), (2, 5), (2, 3), (7, 3)} then what will be R-1OR-1 

  1. {(3, 1), (5, 1) (3, 9), (7, 3)}
  2. {(3, 1), (5, 1), (7, 3)}
  3. {(3, 1), (5, 1) (3, 9)}
  4. {(3, 1), (3, 9), (7, 3)}

Answer (Detailed Solution Below)

Option 3 : {(3, 1), (5, 1) (3, 9)}

Operations on Relations Question 1 Detailed Solution

Concept:

If A, B and C are three sets such that  \(R\subseteq A\times B\) and \(S\subseteq B\times C\) then (SOR)-1 = R-1 O S-1. It is clear that if a R b, b S c ⇒ a SOR c.

Calculation:

We know that  (ROR)-1 = R-1OR-1

Domain(R) = {1, 2, 7, 9} and Range(R) = {2, 3, 5, 7}

we see that,

1 → 2 → 3 ⇒ (1, 3) ∈ ROR

1 → 2 → 5 ⇒ (1, 5) ∈ ROR

9 → 7 → 3 ⇒ (9, 3) ∈ ROR

Hence ROR = {(1, 3), (1, 5), (9, 3)}

(ROR)-1 = {(3, 1), (5, 1), (3, 9)}

 R-1OR-1 = {(3, 1), (5, 1), (3, 9)}

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