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Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4),(4,4)}). What is the correct answer about (R)?

Class 12 · Mathematics

On a set, (R) is transitive. If ((1,2)\in R), ((2,3)\in R), and ((3,4)\in R), which pair will definitely be in (R)?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(3,4)}). Is (R) transitive?

Class 12 · Mathematics

If a relation has no two pairs where the second element of the first pair equals the first element of the second pair, what can be said about transitivity?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b)(}). What conclusion follows from ((1,3)) and ((3,5))?

Class 12 · Mathematics

The relation (R={(a,b):a) is an ancestor of (b)(}) is defined on a set of people. Is it transitive?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (R) is not transitive, which situation can definitely be found?