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Class 12 · Mathematics
→If (A) has 4 elements, what is the minimum number of pairs in a reflexive relation on (A)?
Class 12 · Mathematics
→Let (A={1,2,3}) and (R={(1,1),(2,2),(1,3)}). Why is (R) not reflexive?
Class 12 · Mathematics
→Let (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is (R)?
Class 12 · Mathematics
→If (A={1,2,3}), which pairs are compulsory for a reflexive relation on (A)?
Class 12 · Mathematics
→What is the correct identification of a reflexive relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) and (S={(a,b):a-b\text{ is divisible by }4}). How many pairs are in (R\cap S)?
Class 12 · Mathematics
→If (R) is not symmetric, choose the correct statement about (R\cup R^{-1}).
Class 12 · Mathematics
→If (R) is a reflexive relation on a set, what is true about (R\cap I), where (I) is the identity relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a=b) or both numbers are prime. What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if both (a,b) are multiples of (3), or both are not multiples of (3). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b=5). What is the equivalence class of (2)?
Class 12 · Mathematics
→If (R) is an equivalence relation, choose the correct statement about (R^{-1}).
Class 12 · Mathematics
→For any relation (R), which statement about (R\cup R^{-1}) is always true?
Class 12 · Mathematics
→For any relation (R), which statement about (R\cap R^{-1}) is always true?
Class 12 · Mathematics
→If (R) is a symmetric relation on a set, choose the correct statement about (R\cup R^{-1}).
Class 12 · Mathematics
→If (A={1,2,3}), how many relations on (A) are not reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}), how many relations on (A) are reflexive but not the identity relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b\le6). Choose the correct statement.
Class 12 · Mathematics
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