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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is correct about (R)?
Class 12 · Mathematics
→If (R) is symmetric and (S\subseteq R), which statement about (S) is correct?
Class 12 · Mathematics
→A relation (R) on a set (A) is symmetric. If ((a,b)\notin R), which conclusion is always true?
Class 12 · Mathematics
→How many symmetric relations on (A={1,2,3}) do not contain ((1,1))?
Class 12 · Mathematics
→How many symmetric relations on (A={1,2,3}) contain ((1,2))?
Class 12 · Mathematics
→If (R={(a,b):a=2b}) on real numbers, why is (R) not symmetric?
Class 12 · Mathematics
→If (R={(a,b):a+b=10}) on real numbers, what type is (R)?
Class 12 · Mathematics
→On real numbers, (R={(a,b):|a-b|<2}). What is correct about (R)?
Class 12 · Mathematics
→If a relation (R) is symmetric, which of the following is not necessary?
Class 12 · Mathematics
→In a symmetric relation on (A={1,2,3}), ((1,2)) and ((2,3)) are present. Which pairs must be present at minimum?
Class 12 · Mathematics
→Why is (R={(a,b):a\mid b}) on natural numbers not symmetric?
Class 12 · Mathematics
→Which relation is definitely symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(4,2),(3,4)}). How many minimum pairs must be added to make it symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). How many pairs must be added to make (R) both reflexive and symmetric?
Class 12 · Mathematics
→If (R) is a symmetric relation, which statement about (R\setminus S) is always true?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations on (A), which statement about (R\cup S) is correct?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations on (A), which statement about (R\cap S) is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3),(3,1)}). Which property is correct?
Class 12 · Mathematics
→On real numbers, (R={(a,b):a-b=3}) is given. What is the correct reason it is not symmetric?
Class 12 · Mathematics
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