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Class 12 · Mathematics

If a relation contains only one pair ((2,3)), is it transitive or not?

Class 12 · Mathematics

In which situation is a counterexample enough to disprove transitivity of a relation?

Class 12 · Mathematics

If (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}), what type of relation is (R)?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4)}). (R) is not transitive because which pair is missing?

Class 12 · Mathematics

On integers, (aRb) if (a \equiv b \pmod{3}). What type of relation is (R)?

Class 12 · Mathematics

If (R={(1,2),(2,3),(3,1)}), which pair is first clearly required to make it transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is transitive, which statement is correct?

Class 12 · Mathematics

Which of the following relations is not transitive?

Class 12 · Mathematics

A relation (R) on a set (A) is transitive. If ((2,5)), ((5,7)), and ((7,9)) are all in (R), which pair must definitely be in (R)?

Class 12 · Mathematics

What type is the relation (R={(a,b):a,b \in \mathbb{N}\text{ and }a\text{ is a multiple of }b})?

Class 12 · Mathematics

If (R={(1,2),(2,2),(2,3)}), why is (R) not transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

Which of the following relations is generally transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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