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Class 12 · Mathematics · Easy
→On (A={1,2,3,4,5,6,7,8}), (aRb) when (a) and (b) leave the same remainder on division by (4). How many equivalence classes are formed?
Class 12 · Mathematics · Easy
→On real numbers, (aRb) when (|a|=|b|). Which statement about (R) is correct?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and (a) is an element of a set, which elements come in ([a])?
Class 12 · Mathematics · Easy
→What is correct about classes formed by an equivalence relation?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), (aRb) when (a+b) is even. Choose the correct statement.
Class 12 · Mathematics · Easy
→On (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (5). What is the equivalence class of (5)?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ((p,q)\in R), ((q,r)\in R), which pair will definitely belong to (R)?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ((x,y)\in R), which pair must belong to (R)?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→On integers, (aRb) when (a-b) is divisible by (4). What type of relation is this?
Class 12 · Mathematics · Easy
→Which option is correct for calling a relation (R) an equivalence relation?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→On (A={a,b,c}), (R={(a,a),(b,b),(c,c),(a,b),(b,a)}) is given. What type of relation is it?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4,5,6}), (aRb) when (a \equiv b \pmod{3}). Which is the equivalence class of (4)?
Class 12 · Mathematics · Easy
→On the set (A={1,2,3,4}), relation (R) is defined by (aRb) when (a) and (b) are both even or both odd. What type of relation is (R)?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) is given. What type of relation is this?
Class 12 · Mathematics · Easy
→On the set (A={1,2,3,4,5,6}), relation (R) is defined by (aRb) when (a) and (b) give the same remainder on division by (3). Which is the equivalence class of (1)?
Class 12 · Mathematics · Easy
→Which method is the most correct for checking an equivalence relation?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (2). What is the equivalence class of (4)?
Class 12 · Mathematics · Easy
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