Search questions
Choose which content to search, then combine terms with AND or OR.
Class 12 · Mathematics · Medium
→For the relation on real numbers where (a-b) is rational, which element is definitely in the same equivalence class as (\sqrt{2})?
Class 12 · Mathematics · Medium
→On real numbers, (aRb) holds when (a-b) is rational. What type of relation is it?
Class 12 · Mathematics · Medium
→Which option is not a valid partition for an equivalence relation on (A={1,2,3})?
Class 12 · Mathematics · Medium
→How many ordered pairs are in the equivalence relation on (A={1,2,3,4,5}) corresponding to the partition ({1,2},{3},{4,5})?
Class 12 · Mathematics · Medium
→If an equivalence relation has equivalence classes ({a,b,c}) and ({d,e}), how many ordered pairs are in the relation?
Class 12 · Mathematics · Medium
→For the relation (\frac{a}{b}>0) on non-zero real numbers, what is the equivalence class of (-5)?
Class 12 · Mathematics · Medium
→On non-zero real numbers, (aRb) holds when (\frac{a}{b}>0). What type of relation is it?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (aRb) holds when (a=b) or (a+b=5). Is this an equivalence relation?
Class 12 · Mathematics · Medium
→Which statement correctly describes equivalence classes?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (2). Which pair is not in (R)?
Class 12 · Mathematics · Medium
→For the relation (a^2=b^2) on integers, what is the equivalence class of (-3)?
Class 12 · Mathematics · Medium
→On integers, (aRb) holds when (a^2=b^2). What type of relation is it?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1)}) is not an equivalence relation. Which missing pair shows the failure of transitivity?
Class 12 · Mathematics · Medium
→On a set of students, (aRb) holds when (a) and (b) study in the same class. What type of relation is it?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation, what is true about ([a]) for any (a\in A)?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is even. What is the equivalence class of (1)?
Class 12 · Mathematics · Medium
→Which option definitely gives a relation that is not an equivalence relation?
Class 12 · Mathematics · Medium
→On integers, (aRb) holds when (a-b) is a multiple of (5). How many distinct equivalence classes are there?
Class 12 · Mathematics · Medium
→For (A={1,2,3}), which statement is correct about the identity relation (I={(1,1),(2,2),(3,3)})?
Class 12 · Mathematics · Medium
→