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Class 12 · Mathematics
→If (R) is an equivalence relation and ((2,5)\in R), which pair must be in (R)?
Class 12 · Mathematics
→Which relation is neither reflexive nor symmetric, but transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b\ge0). This relation is an example of what?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b>0). Which property is correct?
Class 12 · Mathematics
→On real numbers, (aRb) if (a=b) or (a=-b). What type of relation is this?
Class 12 · Mathematics
→On real numbers, (aRb) if (|a|=|b|). What type of relation is this?
Class 12 · Mathematics
→On real numbers, (aRb) if (a^2=b^2). What type of relation is this?
Class 12 · Mathematics
→On a family of sets, (A R B) if (A\subseteq B). What type of relation is this?
Class 12 · Mathematics
→On positive integers, (aRb) if (a) divides (b). What type of relation is it?
Class 12 · Mathematics
→Which relation is reflexive, antisymmetric and transitive?
Class 12 · Mathematics
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) antisymmetric?
Class 12 · Mathematics
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2)}) antisymmetric?
Class 12 · Mathematics
→In an antisymmetric relation, if both ((a,b)) and ((b,a)) are present, what conclusion follows?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) can be an example of a partial order relation?
Class 12 · Mathematics
→For (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), what are the equivalence classes?
Class 12 · Mathematics
→If (aRb) means (a) and (b) have the same remainder when divided by (5), what type of relation is it?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R) is defined by having the same remainder when divided by (2), how many classes does (R) form?
Class 12 · Mathematics
→Why is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}) not an equivalence relation?
Class 12 · Mathematics
→If (R) is an equivalence relation on a set, which conclusion is always true?
Class 12 · Mathematics
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