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Class 12 · Mathematics

On a collection of sets, relation (R) is defined by (A,R,B) if (A\subseteq B). What is this relation?

Class 12 · Mathematics

On real numbers, (R={(a,b):a\ge b}). What is correct about (R)?

Class 12 · Mathematics

On real numbers, (R={(a,b):a=b+1}). Is this relation transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(1,2),(2,2)}). Is (R) transitive or not?

Class 12 · Mathematics

If (R) is transitive and ((3,3) \in R), which conclusion must follow?

Class 12 · Mathematics

If ((2,5) \in R) and ((5,7) \in R), and (R) is transitive, which pair must be in (R)?

Class 12 · Mathematics

On (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), which pair is clearly required first to make it transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On natural numbers, (R={(a,b):a\mid b}). What is correct about (R)?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), which pair must be added to make (R={(1,2),(2,4)}) transitive?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4)}). Is (R) transitive or not?

Class 12 · Mathematics

Why is the universal relation (A\times A) on a set (A) transitive?

Class 12 · Mathematics

Is the empty relation (\varnothing) on a set (A) transitive or not?

Class 12 · Mathematics

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

Class 12 · Mathematics

On real numbers, (R={(a,b):a<b}). Is (R) transitive?