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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 (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2),(1,1)}). Is (R) symmetric or not?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is divisible by }2}). Choose the correct statement about (R).
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={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}). What is the minimum number of pairs to remove to make the relation symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\equiv -b \pmod{5}}). What is the correct statement about (R)?
Class 12 · Mathematics
→If (R) and (S) are symmetric relations on (A), choose the correct statement about (R\triangle S), where (R\triangle S=(R-S)\cup(S-R)).
Class 12 · Mathematics
→Which statement gives the most accurate definition of a symmetric relation?
Class 12 · Mathematics
→Which relation on (\mathbb{R}) is symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). What must be done to make (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(3,1)}). What is the minimum number of pairs to add to make (R) symmetric?
Class 12 · Mathematics
→If (M) is the matrix of a relation (R), what is the correct matrix condition for (R) to be symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many symmetric relations contain ((1,2)) but not ((2,1))?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many symmetric relations must contain both ((1,2)) and ((3,4))?
Class 12 · Mathematics
→If (A) has (6) elements, how many symmetric relations are there on (A)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a^2+b^2=10}). What type of relation is (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+2b=6}). Is (R) symmetric?
Class 12 · Mathematics
→On a set (A), (R={(a,b):a+b=ab}). What is the correct reason for (R) being symmetric?
Class 12 · Mathematics
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