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Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3}) and ((1,3)) is in (R\circ R), what type of chain may be possible?
Class 12 · Mathematics
→If (R) on (A={1,2,3}) is reflexive and symmetric and ((1,2)) and ((2,3)) are in (R), which pairs must be present to make it an equivalence relation?
Class 12 · Mathematics
→If the universal relation is on (A={1,2}), is it antisymmetric?
Class 12 · Mathematics
→If a relation on (A={1,2,3,4}) is reflexive, symmetric and antisymmetric all together, which relation will it be?
Class 12 · Mathematics
→If a relation on (A={1,2,3}) is reflexive, symmetric and antisymmetric all together, how many pairs will it have?
Class 12 · Mathematics
→If (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), why is (R) symmetric but not an equivalence relation?
Class 12 · Mathematics
→If (R) is symmetric and ((3,5)\in R), which statement about (R^{-1}) is correct?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) on (A={1,2,3}), which property definitely fails?
Class 12 · Mathematics
→If (A) has (4) elements, how many relations on (A) are both symmetric and antisymmetric?
Class 12 · Mathematics
→If (A) has (4) elements, what is the number of reflexive and antisymmetric relations on (A)?
Class 12 · Mathematics
→If (A) has (4) elements, how many relations on (A) are both reflexive and symmetric?
Class 12 · Mathematics
→If a relation on (A={1,2,3}) is reflexive, symmetric and antisymmetric all together, which relation can it be?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3)}) on (A={1,2,3}), which pair is missing for symmetry?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3),(3,1)}) on (A={1,2,3}), which property definitely fails?
Class 12 · Mathematics
→If (R) is reflexive and transitive, what decides whether (R) is symmetric?
Class 12 · Mathematics
→If (R) on (A={1,2,3}) is reflexive and symmetric and ((1,2),(2,3)\in R), which pair is necessary to make (R) an equivalence relation?
Class 12 · Mathematics
→If (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), why is (R) symmetric but not reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), if (aRb) when (a+b=5), which statement about (R) is correct?
Class 12 · Mathematics
→If a relation is both symmetric and antisymmetric, what is correct for distinct elements (a\ne b)?
Class 12 · Mathematics
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