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Class 12 · Mathematics
→If the inverse (R^{-1}) of a relation (R) is equal to the relation itself, what is the correct conclusion about (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), what type is the relation (R={(a,b):a-b\text{ is odd}})?
Class 12 · Mathematics
→On (A={1,2,3,4}), which statement is correct about (R={(a,b):a+b\text{ is even}})?
Class 12 · Mathematics
→If (R={(1,3),(3,1),(2,4)}), which pair is sufficient to make (R) symmetric?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(1,2),(2,1),(2,4),(4,2),(3,3)}), what is the correct conclusion about (R)?
Class 12 · Mathematics
→The relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?
Class 12 · Mathematics
→If a relation (R) is not symmetric, what is the most common reason?
Class 12 · Mathematics
→How many reverse pairs are there in (R={(1,2),(2,1),(3,1),(1,3)})?
Class 12 · Mathematics
→If a relation contains only ((1,1)) and ((2,2)), is it symmetric?
Class 12 · Mathematics
→What should be checked first while testing a relation for symmetry?
Class 12 · Mathematics
→The relation (R={(a,b):a^2+b^2=10}) is given on real numbers. What is it?
Class 12 · Mathematics
→Which relation is generally not symmetric?
Class 12 · Mathematics
→The relation (R={(a,b):a) and (b) live in the same city(}) is on a set of people. What is it?
Class 12 · Mathematics
→In which relation is the required pair for symmetry also present when ((2,3)) is present?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,1),(2,2)}), which statement about (R) is correct?
Class 12 · Mathematics
→Which relation is symmetric but not necessarily reflexive?
Class 12 · Mathematics
→If (R) is symmetric, which conclusion from ((a,b)\in R) would be incorrect?
Class 12 · Mathematics
→How many minimum pairs must be added to make (R={(1,2),(3,4)}) symmetric?
Class 12 · Mathematics
→How many minimum pairs must be added to make (R={(1,4),(4,1),(2,5)}) symmetric?
Class 12 · Mathematics
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