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Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (R) is transitive and ((x,y) \in R), ((y,z) \in R), what is the correct conclusion?

Class 12 · Mathematics · Medium

If a relation is symmetric, must it always be transitive?

Class 12 · Mathematics · Medium

Which of the following relations is generally transitive?

Class 12 · Mathematics · Medium

If (R={(1,1),(1,2),(2,2),(2,1)}), choose the correct statement about (R).

Class 12 · Mathematics · Medium

On (\mathbb{R}), the relation (aRb) if (a=b) is transitive or not?

Class 12 · Mathematics · Medium

If (R={(a,b):a,b \in \mathbb{Z}\text{ and }a-b\text{ is odd}}), is (R) transitive?

Class 12 · Mathematics · Medium

If (R={(a,b):a,b \in \mathbb{Z}\text{ and }a-b\text{ is even}}), what type of relation is (R)?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

What is the nature of the universal relation (A\times A) on any non-empty set (A)?

Class 12 · Mathematics · Medium

If (R={(1,2),(2,4),(1,4),(4,1)}), is (R) transitive?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Choose the correct option for (R).

Class 12 · Mathematics · Medium

If (R) is transitive and ((4,6) \in R), ((6,9) \in R), which pair must be in (R)?

Class 12 · Mathematics · Medium

If (R={(1,2),(2,3),(1,3),(3,3)}), which statement is correct?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

On real numbers, is the relation (aRb) if (a\le b) transitive?

Class 12 · Mathematics · Medium

On real numbers, is the relation (aRb) if (a<b) transitive?

Class 12 · Mathematics · Medium

On natural numbers, the relation (aRb) if (a) divides (b) is what type of relation?

Class 12 · Mathematics · Medium

Choose the correct statement about the empty relation on A={1,2,3}.

Class 12 · Mathematics · Medium

Which statement is correct about the identity relation (I={(a,a):a \in A}) on a set?