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Class 12 · Mathematics
→What is the symmetric closure of (R={(1,1),(1,2),(2,1),(2,3)})?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), the matrix of a relation is (\begin{pmatrix}1&0&1&0\0&1&0&1\1&0&0&0\0&1&0&1\end{pmatrix}). What type is the relation?
Class 12 · Mathematics
→How many symmetric relations can be formed on a set having three elements?
Class 12 · Mathematics
→On (A={a,b,c}), a symmetric relation contains ((a,b)) and ((c,a)). Which pairs must be present at minimum?
Class 12 · Mathematics
→On the set (A={1,2,3,4,5}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) 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
→On (A={1,2,3}), how many symmetric relations must contain ((1,2))?
Class 12 · Mathematics
→If (R) is a symmetric relation on (A), what is the correct statement about (R^{-1})?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) is given. Choose the correct statement about (R).
Class 12 · Mathematics
→How many different symmetric relations can be formed on the set (A={1,2,3,4})?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=2b}). Choose the correct option about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=2a}). Which statement is correct for (R)?
Class 12 · Mathematics
→If a relation (R) contains only diagonal pairs of the form ((a,a)), which statement about (R) is correct?
Class 12 · Mathematics
→A relation on (A={1,2,3}) has the matrix (\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}). Choose the correct statement.
Class 12 · Mathematics
→A relation on (A={1,2,3}) has the matrix (\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}). Is the relation symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=7}). If ((3,4)\in R), which pair also belongs to (R) due to symmetry?
Class 12 · Mathematics
→In which option are a relation (R) and its inverse (R^{-1}) equal?
Class 12 · Mathematics
→If (R={(a,b):a+b\text{ is a multiple of }5}), which statement is correct based on symmetry?
Class 12 · Mathematics
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