Search questions
Use text search or combine filters to find exactly the questions you need.
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
→On (A={1,2,3}), how many symmetric relations contain ((1,2)) but do not contain ((1,1))?
Class 12 · Mathematics
→On (A={1,2,3}), how many symmetric relations must contain ((1,2))?
Class 12 · Mathematics
→If A has n elements, how many symmetric relations on A contain no diagonal pair (a,a)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\mid b}). Which is the correct counterexample showing that (R) is not symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Why is (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3}), the matrix of relation (R) is (\begin{pmatrix}1&1&0\0&1&1\0&1&1\end{pmatrix}). Which minimum entry must be changed for symmetry?
Class 12 · Mathematics
→On (A={1,2,3}), the matrix of relation (R) is (\begin{pmatrix}1&0&1\0&1&1\1&1&0\end{pmatrix}). What is the correct conclusion about (R)?
Class 12 · Mathematics
→