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Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?
Class 12 · Mathematics
→On (A={1,2,3}), relation (R=A\times A). Which relation is it?
Class 12 · Mathematics
→If (A={1,2,3}) and (B={4,5}), what is the total number of relations from (A) to (B)?
Class 12 · Mathematics
→How many ordered pairs are in the identity relation on (A={1,2,3,4})?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}). Why is it not an equivalence relation?
Class 12 · Mathematics
→If (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?
Class 12 · Mathematics
→On (A={1,2,3,4,6,12}), (R={(a,b):a) divides (b)(}). Which statement about ((3,12)) and ((12,3)) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b) is even(}). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\le b}). How many ordered pairs are in the relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a-b>0). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?
Class 12 · Mathematics
→For (R={(1,2),(2,1)}) on (A={1,2,3}), how many minimum pairs must be added to make it reflexive?
Class 12 · Mathematics
→For (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?
Class 12 · Mathematics
→For (R={(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?
Class 12 · Mathematics
→If (R) and (S) are transitive relations on (A), which statement about (R\cup S) is correct?
Class 12 · Mathematics
→If (R) and (S) are symmetric relations on (A), which statement about (R\cup S) is correct?
Class 12 · Mathematics
→If (R) and (S) are reflexive relations on (A), which statement about (R\cap S) is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is it?
Class 12 · Mathematics
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