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Class 12 · Mathematics · Medium
→Which statement about the universal relation is correct?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation and ((2,5)\in R), which pair must be in (R)?
Class 12 · Mathematics · Medium
→Which relation is neither reflexive nor symmetric, but transitive?
Class 12 · Mathematics · Medium
→Which relation is reflexive, antisymmetric and transitive?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) antisymmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2)}) antisymmetric?
Class 12 · Mathematics · Medium
→In an antisymmetric relation, if both ((a,b)) and ((b,a)) are present, what conclusion follows?
Class 12 · Mathematics · Medium
→Which relation is reflexive and symmetric but not transitive?
Class 12 · Mathematics · Medium
→Which relation is symmetric but not transitive?
Class 12 · Mathematics · Medium
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which properties does (R) have?
Class 12 · Mathematics · Medium
→Let A be nonempty and let R be the empty relation on A. Which statement is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Which property is immediately clear?
Class 12 · Mathematics · Medium
→If (A) has (n) elements, the number of symmetric relations is equal to which expression?
Class 12 · Mathematics · Medium
→If A has 3 elements, how many antisymmetric relations are possible on A?
Class 12 · Mathematics · Medium
→If a relation contains only one pair ((2,2)), why is it symmetric?
Class 12 · Mathematics · Medium
→If a relation contains only one pair ((2,3)), is it symmetric?
Class 12 · Mathematics · Medium
→If (R) and (S) are two symmetric relations on (A), what type will (R\cup S) be?
Class 12 · Mathematics · Medium
→Which relation on (A={1,2,3}) is symmetric but not reflexive?
Class 12 · Mathematics · Medium
→For (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}), what is correct?
Class 12 · Mathematics · Medium
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