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Class 12 · Mathematics

If (R) and (S) are both transitive relations, what is correct about (R\cap S)?

Class 12 · Mathematics

If (R) and (S) are both transitive relations, is (R\cup S) always transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On A = {1, 2, 3, 4}, let R = {(a,b): a + b is even}. What type of relation is R?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a\text{ and }b\text{ are both even}}). Is (R) transitive?

Class 12 · Mathematics

On real numbers, (R={(a,b):a^2=b^2}). Is (R) transitive?

Class 12 · Mathematics

If a relation is reflexive, will it always be transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

A relation (R) contains both ((a,b)) and ((b,c)). Which pair is needed to keep (R) transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is transitive and ((1,4) \in R), ((4,6) \in R), which pair must definitely be present?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4)}) is not transitive. Which pair shows the missing requirement?

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?