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Class 11 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4)}). What is the minimum number of new pairs needed in the transitive closure of (R)?

Class 11 · Mathematics

Which pair is compulsory in the transitive closure of a relation (R), if (R) contains ((1,2)) and ((2,4))?

Class 11 · Mathematics

On (A={1,2,3,4}), (aRb) if and only if (a\neq b). Which statement about (R) is correct?

Class 11 · Mathematics

On (\mathbb{R}), (aRb) if and only if (a-b>0). Which property of (R) is correct?

Class 11 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):|a-b|\leq1}). Which statement about (R) is correct?

Class 11 · Mathematics

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

Class 11 · Mathematics

For (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). What is the correct conclusion about (R)?

Class 11 · Mathematics

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

Class 11 · Mathematics

On the set (A={1,2,3,4,6,12}), relation (R={(a,b)\in A\times A:a) divides (b)(}) is given. Which statement is correct for this relation?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (A={1,2,3}) and (R={(1,1),(1,2),(2,2),(2,3),(3,3)}), which missing pair causes a problem for transitivity?

Class 11 · Mathematics

Choose the correct option for (R={(a,b):a<b}) on (A={1,2,3,4,5}).

Class 11 · Mathematics

For (R={(a,b):a\mid b}) on (A={1,2,3,4}), which statement is correct?

Class 11 · Mathematics

If (A={1,2,3,4}) and (R={(a,b):a\le b}), which property is certainly satisfied by (R)?

Class 11 · Mathematics

Let R be a relation on a set A defined by: for every a, b ∈ A, aRb if and only if a = b. What type of relation is R?

Class 11 · Mathematics

If (R={(a,b):a=b \text{ or } a+b=5}) on (A={1,2,3,4}), what is (R)?

Class 11 · Mathematics

If A={1,2,3,4} and R={(a,b)∈A×A : ab is even}, which statement about R is correct?

Class 11 · Mathematics

On the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\ge b\}\). Which statement about the relation \(R\) is correct?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\), which single ordered pair must be added to make \(R\) transitive?