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Class 11 · Mathematics

If (R={(1,1),(1,2),(2,2)}) is on (A={1,2}), which property does (R) have?

Class 11 · Mathematics

If R is transitive and (1, 4) ∈ R, (4, 7) ∈ R, which ordered pair must belong to R?

Class 11 · Mathematics

On A={1,2,3,4}, if aRb means a≤b, which property must this relation have?

Class 11 · Mathematics

If (R={(1,2),(2,3),(1,3),(2,2),(3,3)}), which pair is most important while checking transitivity?

Class 11 · Mathematics

If (R={(1,2),(2,3),(3,4),(1,3)}), which pair is needed from ( (2,3) ) and ( (3,4) ) for transitive property?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (R={(1,3),(3,5)}), why is (R) not transitive?

Class 12 · Mathematics

If R = {(1, 2), (2, 4), (1, 4)}, which pair is required in the transitive check?

Class 11 · Mathematics

If (R={(1,2),(2,3),(1,3),(3,3)}), what do ( (1,2) ) and ( (2,3) ) require in transitive condition?

Class 11 · Mathematics

If (A={1,2}) and (R=A\times A), is (R) transitive?

Class 12 · Mathematics

If R={(1,1),(1,2),(2,2)}, which pair is required from (1,2) and (2,2) in a transitive check?

Class 11 · Mathematics

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

Class 12 · Mathematics

If A={1,2,3} and R={(1,2),(2,3),(1,3)}, which fact shows the transitive property?

Class 12 · Mathematics

A relation (R) on a set (A) is reflexive and symmetric but not transitive. Which conclusion about (R) is correct?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,1),(2,3),(3,2)}). Which minimum pairs must be added to make it an equivalence relation?

Class 12 · Mathematics

Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}) is given. Which minimum pairs must be added to make it an equivalence relation?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) is given. Which pairs are definitely needed to make it an equivalence relation?

Class 12 · Mathematics

On the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.

Class 12 · Mathematics

Which option gives a relation that is not transitive?