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Class 12 · Mathematics

On integers, (aRb) if (a+b) is even. Is (R) transitive?

Class 12 · Mathematics

On integers, (aRb) if (a \equiv b \pmod{3}). Is (R) transitive?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Which transitivity chain is correct?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2}), (R={(1,2),(2,2)}). Is (R) transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2)}). Is (R) transitive?

Class 12 · Mathematics

If (R) and (S) are transitive, what is generally true about (R \cup S)?

Class 12 · Mathematics

If (R) and (S) are both transitive relations, which statement about (R \cap S) is correct?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2)}). Which missing pairs are most clearly needed to make (R) transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(1,1),(1,3)}). Which pair must be added to make (R) transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(2,3),(1,3)}). Which pair is additionally needed to make (R) transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3),(3,3)}). Which check is most important for transitivity?

Class 12 · Mathematics

On a set of people, (aRb) if (a) is brother of (b). In general, is this relation transitive?

Class 12 · Mathematics

On the set of lines, (lRm) if line (l) is parallel to line (m). In a plane, what is this relation?

Class 12 · Mathematics

On a family of sets, define (A R B) if (A \cap B=\varnothing). Is this relation transitive?

Class 12 · Mathematics

On a family of sets, define (A R B) if (A \subseteq B). Is this relation transitive?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,2),(2,3),(1,3)}). Is (R) transitive?

Class 12 · Mathematics

If (R) is transitive and ((a,b)), ((b,c)), ((c,d)) are in (R), which conclusion is correct?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,1),(1,2),(2,2),(2,3),(1,3)}). Choose the correct statement about transitivity.

Class 12 · Mathematics

On (A={1,2,3,4,5}), (aRb) if (a+2=b). Why is this relation not transitive?