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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
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2),(1,3)}). Which pair should be added to make (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):\text{the difference of }a\text{ and }b\text{ is divisible by }2}). Is (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a^2-b^2=0}). Which option is correct about (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b=ab}). Choose the correct statement for (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):ab\text{ is even}}). Which statement is correct about (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,2),(3,1)}). Which pair must be added to make (R) symmetric?
Class 12 · Mathematics
→If the arrow diagram of a relation shows a reverse arrow for every arrow, which property does the relation show?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\text{ and }b\text{ have the same parity}}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ are both prime}}). Is (R) symmetric?
Class 12 · Mathematics
→Which condition does not form a symmetric relation?
Class 12 · Mathematics
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