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Class 12 · Mathematics
→What is the correct way to identify a symmetric relation in a directed graph?
Class 12 · Mathematics
→If the matrix of a relation is (M=\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}), why is it not symmetric?
Class 12 · Mathematics
→If the matrix of a relation is (M=\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}), which statement about the relation is correct?
Class 12 · Mathematics
→For the identity relation (I={(1,1),(2,2),(3,3)}) on (A={1,2,3}), what is the correct conclusion?
Class 12 · Mathematics
→For a set (A), which statement is correct about the universal relation (R=A\times A)?
Class 12 · Mathematics
→On (A={1,2,3}), (R=\varnothing). Which statement is correct for (R)?
Class 12 · Mathematics
→On natural numbers, (R={(a,b):a\leq b}) is given. Why is this relation not symmetric?
Class 12 · Mathematics
→If (R={(a,b):a-b\text{ is even}}) is a relation on integers, what type is (R)?
Class 12 · Mathematics
→A relation (R) on a set (A) is symmetric. Which statement about (R^{-1}) is correct?
Class 12 · Mathematics
→If a relation (R) is symmetric and ((5,8) \in R), which conclusion is definitely true?
Class 12 · Mathematics
→For the relation (R={(1,2),(2,1),(2,3)}) on (A={1,2,3}), which statement is correct?
Class 12 · Mathematics
→How many symmetric relations are possible on the set (A={1,2,3,4})?
Class 12 · Mathematics
→For a set A with n elements, how many unordered pair-positions must be chosen to specify a symmetric relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). Which minimum pair must be added to make (R) symmetric?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) is given. Why is this relation symmetric?
Class 12 · Mathematics
→If a relation satisfies (R^{-1}\subseteq R), what is the correct conclusion about the symmetry of (R)?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1)}), which statement about (R) is correct?
Class 12 · Mathematics
→If (R) is symmetric and (R\subseteq S), which statement about (S) is correct?
Class 12 · Mathematics
→If a symmetric relation on (A={1,2,3,4}) contains ((1,2),(2,1),(3,4),(4,3)) and no other off-diagonal pairs, how many off-diagonal pair groups are there?
Class 12 · Mathematics
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