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Class 12 · Mathematics
→If (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,4)}), what type of relation is (R)?
Class 12 · Mathematics
→If (R) is not transitive, will (R\cup\Delta) always become transitive?
Class 12 · Mathematics
→If (R) is transitive, what about (R\cup\Delta), where (\Delta={(a,a):a\in A})?
Class 12 · Mathematics
→On real numbers, (aRb) if (a=kb), where (k) is a fixed positive real number. In which case will this relation always be transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a\le 2b). Is this relation transitive?
Class 12 · Mathematics
→If (R) is transitive and contains ((a,b)), ((b,c)), and ((c,a)), which statement is correct?
Class 12 · Mathematics
→If (R={(1,3),(3,1),(1,1),(2,4)}), why is (R) not transitive?
Class 12 · Mathematics
→If (R={(1,1),(3,3),(1,3),(3,1),(2,4)}), which option is correct for (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Is (R) transitive?
Class 12 · Mathematics
→If (R) is transitive and contains ((1,2),(2,3),(3,1)), toward what does the whole ({1,2,3}) part move?
Class 12 · Mathematics
→If (R) is transitive and ((1,2),(2,3),(3,1)\in R), which of these pairs must necessarily be in (R)?
Class 12 · Mathematics
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }0<a-b<2}), what type is (R)?
Class 12 · Mathematics
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }a-b>2}), is (R) transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b) is an integer. What type of relation is (R)?
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) and (b) are coprime. Is (R) transitive?
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) and (b) have a common divisor, that is (\gcd(a,b)>1). Is this relation transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,5),(5,3),(1,5),(2,3)}), which pair is immediately required to make it transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,3),(1,3),(3,5),(1,5),(2,5)}), what type of relation is (R)?
Class 12 · Mathematics
→If for a relation (R), (R\circ R\subseteq R), what is the correct conclusion about (R)?
Class 12 · Mathematics
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