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Class 12 · Mathematics
→When an equivalence relation is formed from a partition, which elements are related?
Class 12 · Mathematics
→Which statement correctly describes the connection between an equivalence relation and a partition?
Class 12 · Mathematics
→If (A) has (6) elements and the identity relation is taken, how many ordered pairs are in the relation?
Class 12 · Mathematics
→If (A) has (6) elements and the universal relation is taken, how many ordered pairs are in the relation?
Class 12 · Mathematics
→Which option gives the universal relation on (A={1,2})?
Class 12 · Mathematics
→Which option gives the identity relation on (A={1,2,3,4})?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) holds when (a=b) or (a+b=5). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) are both prime or both not prime. Which is the equivalence class of (1)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7}), (aRb) holds when (a) and (b) are both greater than (4) or both not greater than (4). What is the equivalence class of (6)?
Class 12 · Mathematics
→Which option gives a relation that is reflexive and symmetric but not necessarily transitive?
Class 12 · Mathematics
→If ([x]={1,4,7}) in an equivalence relation, which of the following pairs is definitely in the relation?
Class 12 · Mathematics
→If (R) is an equivalence relation and ([a]\neq[b]), which statement is correct?
Class 12 · Mathematics
→For the relation on integers where (a^2-b^2) is divisible by (3), which element must belong to the class of (2)?
Class 12 · Mathematics
→On integers, (aRb) holds when (a^2-b^2) is divisible by (3). What type of relation is it?
Class 12 · Mathematics
→Which option is not an equivalence relation?
Class 12 · Mathematics
→For the relation based on equal sum of digits, the equivalence class of (23) will be the set of which type of numbers?
Class 12 · Mathematics
→On natural numbers, (aRb) holds when (a) and (b) have the same sum of digits. What type of relation is it?
Class 12 · Mathematics
→For the relation (|a-2|=|b-2|) on real numbers, which is the equivalence class of (5)?
Class 12 · Mathematics
→On real numbers, (aRb) holds when (|a-2|=|b-2|). What type of relation is it?
Class 12 · Mathematics
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