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Class 12 · Mathematics
→If (R) is transitive and contains ((x,x)) and ((x,y)), which conclusion is correct?
Class 12 · Mathematics
→If (R) is transitive and contains ((x,y)) and ((y,y)), which conclusion is correct?
Class 12 · Mathematics
→If (R={(1,2),(2,4),(4,8),(1,4),(2,8)}), which pair should be added to fill the main transitivity gap?
Class 12 · Mathematics
→If (R={(1,2),(2,4),(4,8),(1,4),(2,8),(1,8)}), what is the correct conclusion for (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (ab<0). What type is (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (ab>0). Is this relation transitive?
Class 12 · Mathematics
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }a^2+b^2=0}), what type is (R)?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cap S)?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cup S)?
Class 12 · Mathematics
→If (R) is transitive and (S) is the identity relation, what is correct about (R\cap S)?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b\in\mathbb{Q}). What type will (R^{-1}) be?
Class 12 · Mathematics
→If (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which missing pair breaks transitivity?
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
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