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 FunctionsSymmetric relationEasy
0 reads0 ratings0 helpful

If a relation (R) contains ((4,7)) and (R) is symmetric, which ordered pair must definitely be in (R)?

Answer and explanation

Correct answer: ((7,4))

Step 1: In a symmetric relation, every pair must have its reverse pair. Step 2: The reverse of ((4,7)) is ((7,4)). Step 3: In such questions, reverse the order only; do not change the numbers.

Related tags

Symmetric RelationReverse PairRelationsClass 12Relations And FunctionsMathematicsClass 12 Mcq
सुधार सुझाएँ / Earn

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1Let A={1,2,3}. If a symmetric relation R on A must contain (1,2), how many such relations are possible?
  2. 2On A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?
  3. 3If A has n elements, what is the number of symmetric relations on A?
  4. 4Which relation on A={1,2,3} is symmetric but not transitive?
  5. 5For a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?
  6. 6On the set (A={1,2,3}), the relation (R={(1,2),(2,1),(3,3)}) is given. What type of relation is it?
  7. 7On (A={1,2}), (R={(1,1),(1,2)}) is given. Which pair must be added to make it symmetric?
  8. 8Which statement correctly identifies a symmetric relation?
  9. 9On the set (A={1,2,3}), which relation is not symmetric?
  10. 10If (R={(2,2),(3,5),(5,3)}), which statement about (R) is correct?
Found an issue? Help improve this questionMy reports and replies

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.