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Class 12 · Mathematics

On integers, (aRb) iff (a) and (b) are both even or both odd. What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3}), what equivalence classes are formed by (R={(1,1),(2,2),(3,3),(1,2),(2,1)})?

Class 12 · Mathematics

Why is (R={(1,2),(2,1)}) not transitive on (A={1,2})?

Class 12 · Mathematics

On (A={1,2}), which property does (R={(1,2),(2,1)}) have?

Class 12 · Mathematics

On (A={1,2}), which two properties does (R={(1,1),(2,2),(1,2)}) have?

Class 12 · Mathematics

Which three properties does the universal relation always have?

Class 12 · Mathematics

Which three properties does the identity relation always have?

Class 12 · Mathematics

Which other property does the empty relation have on a non-empty set?

Class 12 · Mathematics

Which property does the empty relation surely have on a non-empty set?

Class 12 · Mathematics

If (A) has (6) elements, how many pairs are in the universal relation?

Class 12 · Mathematics

If (A) has (6) elements, how many pairs are in the identity relation?

Class 12 · Mathematics

On (A={1,2,3}), how many pairs are in (R=A\times A)?

Class 12 · Mathematics

If a relation is reflexive and transitive but not antisymmetric, is it a partial order relation?

Class 12 · Mathematics

If a relation is reflexive and symmetric but not transitive, is it an equivalence relation?

Class 12 · Mathematics

Why is (R={(1,2),(2,3),(3,1)}) not transitive on (A={1,2,3})?

Class 12 · Mathematics

Why is (R={(1,2),(2,1),(2,3)}) not symmetric on (A={1,2,3})?

Class 12 · Mathematics

On A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?

Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,3),(2,3)}) have?

Class 12 · Mathematics

On (A={1,2,3,4}), which property does (R={(1,2),(2,4),(1,4)}) have?

Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,2),(2,1),(3,1),(1,3)}) have?