Mathematics
Symmetric relation
Practice questions
If (R={(1,1),(1,2),(2,1),(2,2)}), which statement about (R) is correct?In which relation is the required pair for symmetry also present when ((2,3)) is present?The relation (R={(a,b):a) and (b) live in the same city(}) is on a set of people. What is it?Which relation is generally not symmetric?The relation (R={(a,b):a^2+b^2=10}) is given on real numbers. What is it?What should be checked first while testing a relation for symmetry?If a relation contains only ((1,1)) and ((2,2)), is it symmetric?How many reverse pairs are there in (R={(1,2),(2,1),(3,1),(1,3)})?If a relation (R) is not symmetric, what is the most common reason?The relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?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)?If (R={(1,3),(3,1),(2,4)}), which pair is sufficient to make (R) symmetric?On (A={1,2,3,4}), which statement is correct about (R={(a,b):a+b\text{ is even}})?On (A={1,2,3,4}), what type is the relation (R={(a,b):a-b\text{ is odd}})?If the inverse (R^{-1}) of a relation (R) is equal to the relation itself, what is the correct conclusion about (R)?If (R={(1,2),(2,1),(2,3),(3,2),(3,4)}), why is (R) not symmetric?On (A={1,2,3}), why is (R={(a,b):a\le b}) not symmetric?On (A={1,2,3,4}), which statement is correct for (R={(a,b):|a-b|=2})?If (R) is symmetric and ((5,7)\in R), which of the following conclusions must be true?If (R={(1,1),(1,2),(2,1),(2,2),(2,3),(3,2)}), choose the correct statement about (R).