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Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,2),(2,1),(2,3),(3,2)}) satisfy?

Class 12 · Mathematics

On (A={1,2,3}), which property does (R={(1,1),(2,2),(3,3),(1,2)}) satisfy?

Class 12 · Mathematics

On (A={1,2}), what type of relation is (R={(1,1),(2,2),(1,2),(2,1)})?

Class 12 · Mathematics

If a relation contains ((1,2)) and ((2,4)) and is transitive, which pair must also be present?

Class 12 · Mathematics

If a relation contains ((2,3)) and is symmetric, which pair must also be present?

Class 12 · Mathematics

For a reflexive relation on (A={1,2,3}), which pairs are compulsory?

Class 12 · Mathematics

On (A={1,2,3}), what type of relation is (R=\varnothing)?

Class 12 · Mathematics

On (A={1,2}), what type of relation is (R=A\times A)?

Class 12 · Mathematics

On A={1,2,3}, let R={(1,2),(2,1)}. Which is the most accurate description of R?

Class 12 · Mathematics

Which properties are needed for a relation to be a partial order relation?

Class 12 · Mathematics

Which three properties are needed for a relation to be an equivalence relation?

Class 12 · Mathematics

Which condition is correct for a relation (R) to be transitive?

Class 12 · Mathematics

Which condition is necessary for a relation (R) to be symmetric?

Class 12 · Mathematics

When is a relation (R) on a set (A) called reflexive?

Class 12 · Mathematics

What is the relation on (A) called when it contains only pairs of the form ((a,a))?

Class 12 · Mathematics

What is the relation on a non-empty set (A) called when it has no ordered pair?

Class 12 · Mathematics

What is the relation on a set (A) called when it contains all ordered pairs of (A\times A)?

Class 12 · Mathematics

Which pair is not present in the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(3,1)}?

Class 12 · Mathematics

On (A={1,2,3,4,5}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3),(4,5)})?

Class 12 · Mathematics

Which pair must belong to the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(4,4)}?