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Class 12 · Mathematics · Easy
→On natural numbers, (aRb) iff (a) divides (b). What type of relation is it?
Class 12 · Mathematics · Easy
→Which single pair should be added to R={(1,1),(2,2),(3,3),(1,2)} so that it becomes an equivalence relation on A={1,2,3}?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), what type of relation is (R={(1,1),(2,2),(3,3),(1,2),(2,1)})?
Class 12 · Mathematics · Easy
→Why is (R={(1,1),(1,2)}) not irreflexive on (A={1,2,3})?
Class 12 · Mathematics · Easy
→Is (R={(1,2),(2,3)}) irreflexive on (A={1,2,3})?
Class 12 · Mathematics · Easy
→Which type of pair must not be present in an irreflexive relation?
Class 12 · Mathematics · Easy
→In an antisymmetric relation, if (a\ne b), what cannot happen?
Class 12 · Mathematics · Easy
→If a relation is reflexive, antisymmetric and transitive, what type of relation is it?
Class 12 · Mathematics · Easy
→If a relation is reflexive, symmetric and transitive, what type of relation is it?
Class 12 · Mathematics · Easy
→Which relation is always transitive on every set?
Class 12 · Mathematics · Easy
→Which relation is always reflexive on every set?
Class 12 · Mathematics · Easy
→Which relation is always symmetric on every set?
Class 12 · Mathematics · Easy
→If (A) has (4) elements, how many pairs are in the universal relation?
Class 12 · Mathematics · Easy
→If (A) has (4) elements, how many pairs are in the identity relation?
Class 12 · Mathematics · Easy
→How many pairs are there in the universal relation on (A={1,2,3})?
Class 12 · Mathematics · Easy
→How many pairs are there in the identity relation on (A={1,2,3})?
Class 12 · Mathematics · Easy
→Is the empty relation transitive on a non-empty set?
Class 12 · Mathematics · Easy
→Is the empty relation symmetric on a non-empty set?
Class 12 · Mathematics · Easy
→Is the empty relation reflexive on a non-empty set?
Class 12 · Mathematics · Easy
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