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Class 12 · Mathematics · Easy

If ((a,b)\in R) and ((b,c)\in R), but ((a,c)\notin R), what can be said about (R)?

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Class 12 · Mathematics · Easy

A relation (R) contains ((5,7)) and ((7,9)). If (R) is transitive, which pair must definitely be present?

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Class 12 · Mathematics · Easy

If (R={(3,3),(3,4),(4,4)}), what type of relation is (R)?

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Class 12 · Mathematics · Easy

Which relation correctly satisfies the condition of transitivity?

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Class 12 · Mathematics · Easy

If (R={(1,2),(2,1)}), which pairs are needed for (R) to become transitive?

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Class 12 · Mathematics · Easy

If (R={(1,1),(1,2),(2,2)}), choose the correct option for (R).

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Class 12 · Mathematics · Easy

If a relation (R) contains ((2,4)) and ((4,6)), which pair must be present for transitivity?

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Class 12 · Mathematics · Easy

On the set (A={1,2,3}), the universal relation (R=A\times A) is given. What can be said about it?

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Class 12 · Mathematics · Easy

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

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Class 12 · Mathematics · Easy

Which is the correct condition for a relation to be transitive?

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Class 12 · Mathematics · Easy

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

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Class 12 · Mathematics · Easy

If (R={(1,2),(2,3),(1,3)}), choose the correct statement about (R).

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Class 12 · Mathematics · Easy

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

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Class 12 · Mathematics · Easy

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

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Class 12 · Mathematics · Easy

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

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Class 12 · Mathematics · Easy

Which is the correct definition of a transitive relation?

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Class 12 · Mathematics · Expert

On (A={1,2,3,4}), (R={(a,b):a^2+b^2=17}). What is (R)?

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Class 12 · Mathematics · Expert

Which statement gives the correct definition of a symmetric relation?

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Class 12 · Mathematics · Expert

On (A={1,2,3,4}), (R={(a,b):a+b=5}). Choose the correct statement about (R).

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Class 12 · Mathematics · Expert

On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) is given. Which minimum ordered pair must be added to make (R) symmetric?

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