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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
→Which relation is reflexive and symmetric but not transitive?
Class 12 · Mathematics
→Which relation is symmetric but not transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Choose the correct statement.
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) is a multiple of (b). Which statement is correct?
Class 12 · Mathematics
→On integers, (aRb) if (a-b) is divisible by (3). What type of relation is this?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type is (R)?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) is an equivalence relation?
Class 12 · Mathematics
→A relation (aRb) holds if person (a) is taller than person (b). On a set of people, which property is correct?
Class 12 · Mathematics
→A relation (aRb) holds if (a) and (b) study in the same class. On a set of students, what type of relation is this?
Class 12 · Mathematics
→A relation (aRb) holds if (a) and (b) have birthdays on the same date. On a set of people, what type of relation is this?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1),(3,2),(3,1)}) resembles which relation?
Class 12 · Mathematics
→A relation (R) contains both ((a,b)) and ((b,a)), where (a\ne b). Which property is not guaranteed by this information alone?
Class 12 · Mathematics
→If (A={1}), which statement is correct about the empty relation and identity relation?
Class 12 · Mathematics
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