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Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,1),(1,2),(2,3),(3,3)}). Why is this relation not transitive?
Class 12 · Mathematics · Expert
→If (R) is a transitive relation, which statement about (R\circ R) is always true?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), how many pairs are in the transitive closure of (R={(1,2),(2,3),(3,4)})?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), what is the transitive closure of (R={(1,2),(2,1)})?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), which new pair is minimally needed to make (R={(1,2),(2,3),(4,4)}) transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a+b\equiv0\pmod 3}). Which property does this relation satisfy?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):a+b) is odd(}). What type of relation is it?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) iff (ab\ge0). In which property does this relation fail?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) iff (a-b>1). Which statement is correct?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) iff (|a-b|\le 1). In which property does this relation fail?
Class 12 · Mathematics · Expert
→If a relation (R) is transitive, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?
Class 12 · Mathematics · Expert
→For (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added for transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) iff (a^2+b^2=0). What type of relation is it?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) iff (a^2\le b^2). Which statement is correct?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), if (aRb) when (a<b), which statement is correct?
Class 12 · Mathematics · Hard
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