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Class 12 · Mathematics

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

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,3),(1,3),(3,3)}), is (R) transitive?

Class 12 · Mathematics

Which option is a correct example of a transitive relation?

Class 12 · Mathematics

If a relation (R) contains ((1,2)), ((2,1)), ((1,1)), and ((2,2)), which pair is required because of ((1,2)) and ((2,1))?

Class 12 · Mathematics

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

Class 12 · Mathematics

Choose the correct option for (R={(a,b):a,b \in \mathbb{R}\text{ and }a\ge b}).

Class 12 · Mathematics

If (R={(1,2),(3,1),(3,2)}), what is the correct statement about (R)?

Class 12 · Mathematics

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

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?