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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is even}}). What is (R)?
Class 12 · Mathematics
→If (R) and (S) are symmetric, is (R-S) always symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1)}) and (S={(2,3),(3,2)}). What is correct about (R\cup S)?
Class 12 · Mathematics
→If (R) is symmetric, which statement about (A\times A-R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\leq b}). Why is (R) not symmetric?
Class 12 · Mathematics
→On A = {1,2,3,4}, let R = {(a,b) : a + b ≤ 5}. Is R symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a^2=b^2}). What type of relation is (R)?
Class 12 · Mathematics
→If the directed graph of a relation has an arrow from (x) to (y), what is necessary for the relation to be symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Choose the correct statement about (R).
Class 12 · Mathematics
→If (R) is symmetric and ((a,b)\notin R), must ((b,a)\notin R) also be true?
Class 12 · Mathematics
→On (A={1,2,3,4}), a symmetric relation (R) has exactly (2) diagonal pairs and exactly (2) off-diagonal mirror-pair groups. How many such relations are possible?
Class 12 · Mathematics
→On a set with (5) elements, how many symmetric relations have no diagonal pair?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Why is (R) not symmetric?
Class 12 · Mathematics
→On A = {1,2,3}, let R = {(1,1),(2,2),(3,3),(1,2),(2,1)}. Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). What is the correct statement about (R)?
Class 12 · Mathematics
→On A = {1,2,3,4}, let R = {(a,b) : a + b = 5}. What type of relation is R?
Class 12 · Mathematics
→For any relation (R), what type of relation is (R\cup R^{-1}) always?
Class 12 · Mathematics
→If R is a symmetric relation, which statement about R ∪ R⁻¹ is correct?
Class 12 · Mathematics
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