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Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

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 · Medium

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

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (aRb) if (a+2=b). Is this relation transitive?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (aRb) if (a+1=b). Is this relation transitive?

Class 12 · Mathematics · Medium

On (A={1,2,3,4,5}), (aRb) if (a) is less than (b). What type of relation is it?

Class 12 · Mathematics · Medium

On real numbers, (aRb) if (a \ne b). Is this relation transitive?

Class 12 · Mathematics · Medium

On real numbers, (aRb) if (a=b). What is this relation?

Class 12 · Mathematics · Medium

On (A={1,2,3}), (R={(1,2),(2,1)}). (R) is not transitive because which pairs are required?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Why is it not transitive?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Is (R) transitive?

Class 12 · Mathematics · Medium

If (R) is transitive and ((2,5) \in R), ((5,8) \in R), ((8,10) \in R), which of the following pairs must be in (R)?

Class 12 · Mathematics · Medium

If relation (R) is transitive and ((4,7) \in R), ((7,9) \in R), which pair must be in (R)?

Class 12 · Mathematics · Medium

On (A={1,2,3}), what is the nature of the identity relation (I={(1,1),(2,2),(3,3)})?

Class 12 · Mathematics · Medium

On (A={1,2,3}), choose the correct statement about the universal relation (R=A \times A).