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Class 12 · Mathematics
→If A has 3 elements, how many irreflexive relations can be defined on A?
Class 12 · Mathematics
→How many reflexive relations are possible on (A={1,2})?
Class 12 · Mathematics
→If a relation contains only one pair ((2,2)), why is it symmetric?
Class 12 · Mathematics
→If a relation contains only one pair ((2,3)), is it symmetric?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) is transitive?
Class 12 · Mathematics
→Will the union of two transitive relations always be transitive?
Class 12 · Mathematics
→If (R) and (S) are two symmetric relations on (A), what type will (R\cup S) be?
Class 12 · Mathematics
→If (R) and (S) are two reflexive relations on (A), what can be said about (R\cap S)?
Class 12 · Mathematics
→Why is (R={(1,1),(2,2),(1,2),(2,1)}) on (A={1,2,3}) not reflexive?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) is symmetric but not reflexive?
Class 12 · Mathematics
→For (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}), what is correct?
Class 12 · Mathematics
→On real numbers, (aRb) if (a<b). Which statement is correct?
Class 12 · Mathematics
→On real numbers, (aRb) if (a\le b). Which statement is correct?
Class 12 · Mathematics
→On integers, (aRb) if (a-b) is odd. Why is this relation not reflexive?
Class 12 · Mathematics
→On integers, (aRb) if (a-b) is even. What type of relation is this?
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) divides (b). Which property is correct?
Class 12 · Mathematics
→A relation (R) on (A={1,2,3}) is defined by (aRb) if and only if (a=b). What type is (R)?
Class 12 · Mathematics
→If (A={1,2,3}), which statement is correct about (R=A\times A)?
Class 12 · Mathematics
→A relation on a set that is reflexive, symmetric and transitive is called what?
Class 12 · Mathematics
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