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Class 12 · Mathematics
→Is the empty relation symmetric on a non-empty set?
Class 12 · Mathematics
→Why is (R={(1,2),(2,3)}) not symmetric on (A={1,2,3})?
Class 12 · Mathematics
→On (A={1,2,3}), which property does (R={(1,2),(2,1),(2,3),(3,2)}) satisfy?
Class 12 · Mathematics
→If a relation contains ((2,3)) and is symmetric, which pair must also be present?
Class 12 · Mathematics
→On A={1,2,3}, let R={(1,2),(2,1)}. Which is the most accurate description of R?
Class 12 · Mathematics
→Which condition is necessary for a relation (R) to be symmetric?
Class 12 · Mathematics
→If (R) is a symmetric relation, which statement about (R\circ R^{-1}) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b\le6}). Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a^2+b^2=1). Which property does this relation satisfy?
Class 12 · Mathematics
→If (A) has (5) elements, how many relations are reflexive, symmetric and antisymmetric all together?
Class 12 · Mathematics
→What is the greatest possible number of pairs in a relation on A={1,2,3,4} that is both symmetric and antisymmetric?
Class 12 · Mathematics
→If (A) has (4) elements, how many symmetric and irreflexive but non-empty relations are there on (A)?
Class 12 · Mathematics
→If (A) has (5) elements, how many antisymmetric relations can be formed on (A)?
Class 12 · Mathematics
→For any relation (R), which property does (R\cup R^{-1}) always have?
Class 12 · Mathematics
→For any relation (R), what is (R\cap R^{-1}) always like?
Class 12 · Mathematics
→If (R) is a symmetric relation, which statement about (R\cup R^{-1}) is correct?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations, which statement about (R-S) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b\equiv0\pmod 3}). Which property does this relation satisfy?
Class 12 · Mathematics
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