Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 12MathematicsRelations and FunctionsTransitive relationEasyLevel 13

On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (R).

Advertisement

Answer and explanation

Correct answer: It is transitive

Step 1: This relation contains only diagonal pairs of the form ((a,a)). Step 2: If ((a,a)) and ((a,a)) are used, the required pair is again ((a,a)), which is present. Step 3: A relation containing only diagonal pairs is transitive.

Tags

transitive relationidentity relationdiagonal pairs

Frequently asked questions

What is the correct answer to this question?

It is transitive

Why is this the correct answer?

Step 1: This relation contains only diagonal pairs of the form ((a,a)). Step 2: If ((a,a)) and ((a,a)) are used, the required pair is again ((a,a)), which is present. Step 3: A relation containing only diagonal pairs is transitive.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Transitive relation.

KEEP PRACTISING

10 more MCQs
  1. 1Which is the correct definition of a transitive relation?
  2. 2On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. Is (R) transitive?
  3. 3On (A={1,2,3}), (R={(1,2),(2,3)}). Why is (R) not transitive?
  4. 4On natural numbers, relation (R) is defined by (aRb) if (a\le b). What is (R)?
  5. 5On real numbers, (R={(a,b):a<b}). Is (R) transitive?
  6. 6Is the empty relation (\varnothing) on a set (A) transitive or not?
  7. 7Why is the universal relation (A\times A) on a set (A) transitive?
  8. 8On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4)}). Is (R) transitive or not?
  9. 9On (A={1,2,3,4}), which pair must be added to make (R={(1,2),(2,4)}) transitive?
  10. 10On integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?
Report question
Advertisement