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Class 12 · Mathematics

A set (A) has (4) elements. How many ordered pairs will the universal relation on (A) contain?

Class 12 · Mathematics

How many ordered pairs are there in the empty relation on (A={1,2,3})?

Class 12 · Mathematics

If (R={(1,1),(2,2)}) is a relation on the set (A={1,2}), what type of relation is it?

Class 12 · Mathematics

If a relation contains ((2,5)) and ((5,9)), and the relation is transitive, which pair must be present?

Class 12 · Mathematics

If a relation contains ((5,7)) and is symmetric, which pair must be present?

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,2),(2,3),(1,3)}), which pair completes transitivity because of ((1,2)) and ((2,3))?

Class 12 · Mathematics

Which property does not fail in (R={(1,2),(2,1),(1,1),(2,2)})?

Class 12 · Mathematics

If (R={(2,2),(4,4),(6,6),(2,4),(4,2)}) on (A={2,4,6}), which property is immediately visible?

Class 12 · Mathematics

If (A={1,2}), which pair is not in (A\times A)?

Class 12 · Mathematics

If (A={1,2,3}) and (R={(1,2),(2,3)}), is (R) a relation on (A)?

Class 12 · Mathematics

If (R={(1,2),(2,4),(3,6),(4,8)}), what is the range?

Class 12 · Mathematics

If (R={(1,2),(2,4),(3,6),(4,8)}), what is the domain?

Class 12 · Mathematics

If a relation has domain ({1,2}) and range ({3,4}), which pair may be possible?

Class 12 · Mathematics

Why is (R={(1,1),(2,2),(3,3)}) transitive on (A={1,2,3})?

Class 12 · Mathematics

Why is (R={(1,1),(2,2),(3,3)}) symmetric on (A={1,2,3})?

Class 12 · Mathematics

On (A={1,2,3}), which property is definitely held by (R={(1,1),(2,2),(3,3)})?

Class 12 · Mathematics

If (R={(1,2),(2,1)}) on (A={1,2}), why is it not reflexive?

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,2)}) on (A={1,2}), is it transitive?

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,2)}), which pair is needed for transitivity from ((1,2)) and ((2,2))?

Class 12 · Mathematics

Which property is clearly present in (R={(1,1),(2,2),(3,3),(1,3),(3,1)})?