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Class 12 · Mathematics
→What is the correct meaning of the symmetric property in an equivalence relation?
Class 12 · Mathematics
→What is the correct meaning of the reflexive property in an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3}), how many ordered pairs will be in (R=A\times A)?
Class 12 · Mathematics
→If (a) and (b) are in different equivalence classes, what is correct about ((a,b))?
Class 12 · Mathematics
→What is correct about two elements inside the same class formed by an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) when (a) and (b) leave the same remainder on division by (2). What is the equivalence class of (3)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) when (a) and (b) are both divisible by (2) or both not divisible by (2). Which is the class of (2)?
Class 12 · Mathematics
→If a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?
Class 12 · Mathematics
→If a relation is reflexive and transitive but not symmetric, what will it be?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3)}). Why is it not an equivalence relation?
Class 12 · Mathematics
→Which relation does not form an equivalence relation?
Class 12 · Mathematics
→Which relation is generally an equivalence relation?
Class 12 · Mathematics
→On (A={-2,-1,1,2}), (aRb) when (|a|=|b|). What is the equivalence class of (-2)?
Class 12 · Mathematics
→On real numbers, (aRb) when (a^2=b^2). Why is this an equivalence relation?
Class 12 · Mathematics
→If two equivalence classes have even one common element, what is correct about them?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), relation (R) forms the classes ({1,5}), ({2,3,4}). Which pair will not belong to (R)?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), relation (R) forms two classes ({1,5}), ({2,3,4}). Which pair must belong to (R)?
Class 12 · Mathematics
→If (R={(a,a):a\in A}), how can (R) be identified?
Class 12 · Mathematics
→On the non-empty set (A={1,2}), the empty relation (R={}) is given. Is (R) an equivalence relation?
Class 12 · Mathematics
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