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Class 12 · Mathematics
→If (A={a,b}), which one is the identity relation?
Class 12 · Mathematics
→Which relation type has every element related to itself and also has the reverse of every related pair, but transitivity still needs to be checked?
Class 12 · Mathematics
→If a relation is both symmetric and antisymmetric, what kind of pair can occur between distinct elements?
Class 12 · Mathematics
→On (A={1,2,3}), which property is clearly satisfied by (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)})?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a\le b). Which statement is correct?
Class 12 · Mathematics
→On R, define aRb if and only if a−b is rational. What is the equivalence class of √2?
Class 12 · Mathematics
→On natural numbers, (aRb) iff (a) divides (b). What type of relation is it?
Class 12 · Mathematics
→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
→On (A={1,2,3}), what type of relation is (R={(1,1),(2,2),(3,3),(1,2),(2,1)})?
Class 12 · Mathematics
→Why is (R={(1,1),(1,2)}) not irreflexive on (A={1,2,3})?
Class 12 · Mathematics
→Is (R={(1,2),(2,3)}) irreflexive on (A={1,2,3})?
Class 12 · Mathematics
→Which type of pair must not be present in an irreflexive relation?
Class 12 · Mathematics
→In an antisymmetric relation, if (a\ne b), what cannot happen?
Class 12 · Mathematics
→If a relation is reflexive, antisymmetric and transitive, what type of relation is it?
Class 12 · Mathematics
→If a relation is reflexive, symmetric and transitive, what type of relation is it?
Class 12 · Mathematics
→Which relation is always transitive on every set?
Class 12 · Mathematics
→Which relation is always reflexive on every set?
Class 12 · Mathematics
→Which relation is always symmetric on every set?
Class 12 · Mathematics
→If (A) has (4) elements, how many pairs are in the universal relation?
Class 12 · Mathematics
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