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Composition Of Relations

Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

If (R) is transitive, what can be said about (R\circ R\subseteq R)?

Class 12 · Mathematics

On A={1,2,3}, let R={(1,2),(2,2),(2,3),(1,3)}. Is R transitive?

Class 12 · Mathematics

If (R) and (S) are symmetric relations, which statement about the composition (R\circ S) is always true?

Class 12 · Mathematics

If (R) and (S) are symmetric relations, which additional condition is sufficient for (R\circ S) to be symmetric?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Will ((1,3)) belong to (R\circ R)?

Class 12 · Mathematics

If (R) and (S) are both reflexive on (A), which middle element works to show (S\circ R) is reflexive?

Class 12 · Mathematics

If (R={(1,2),(2,3)}) and (S={(2,4),(3,5)}), what is (S\circ R)?