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Class 12 · Mathematics · Easy
→If (R) is defined on integers by (aRb) when (a-b) is even, then what type of relation is (R)?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Is it an equivalence relation?
Class 12 · Mathematics · Easy
→Which three properties are required for a relation on a set to be called an equivalence relation?
Class 12 · Mathematics · Easy
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?
Class 12 · Mathematics · Easy
→In (A={1,2,3,4,5,6,7,8}), (aRb) if (a\equiv b \pmod{4}). What is the equivalence class of (4)?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), why is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) not an equivalence relation?
Class 12 · Mathematics · Easy
→The set (A={1,2,3,4,5}) is divided into classes ({1,4},{2},{3,5}). Relation (R) means belonging to the same class. Which pair must be in (R)?
Class 12 · Mathematics · Easy
→On the set of integers, (aRb) if (|a|=|b|). What type of relation is it?
Class 11 · Political Science · Easy
→How can the relationship between secularism and equality be understood?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), how many equivalence classes are formed by the same parity relation?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation, which statement is always true?
Class 12 · Mathematics · Easy
→For natural numbers, (aRb) if (a) and (b) have the same last digit. What type of relation is it?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if both (a) and (b) are positive. Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if (a<b). Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if (a\le b). Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ([a]\neq[b]), what is ([a]\cap[b])?
Class 12 · Mathematics · Easy
→What are the equivalence classes of the universal relation on a set?
Class 12 · Mathematics · Easy
→What are the equivalence classes of the identity relation on a set?
Class 12 · Mathematics · Easy
→Which statement is true about two different equivalence classes formed by an equivalence relation?
Class 12 · Mathematics · Easy
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