Mathematics
Symmetric relation
Practice questions
The relation (R={(x,y):x-y=2}) is given on real numbers. Why is it not symmetric?Which relation is a good example of symmetry?On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). What is (R)?If a relation (R) contains both ((2,6)) and ((6,2)), what do these two pairs support?What is the nature of (R={(1,2),(2,1),(2,4),(4,2),(3,3)})?In (R={(1,2),(2,1),(3,4)}), which pair is missing to complete symmetry?If (R) is a symmetric relation, what is required when ((8,3)\in R)?In which option do all given pairs satisfy the symmetry condition?The relation (R={(a,b):a) and (b) have the same parity(}) is given on integers. What is it?If (R={(a,b):a) is brother of (b)(}) on a set of people, why is it generally not symmetric?On a set of people, relation (R) is defined as: (a) is a classmate of (b). What type of relation is it?The relation (R={(a,b):|a-b|=3}) is given on integers. What is it?Which condition will give a symmetric relation?If (R={(1,2),(2,1),(2,3),(3,2),(1,1)}), which statement is correct?In a symmetric relation, what is correct about ((a,b)) and ((b,a))?Which ordered pair is the same as its reverse?How many minimum pairs must be added to make (R={(1,4),(4,1),(2,5)}) symmetric?How many minimum pairs must be added to make (R={(1,2),(3,4)}) symmetric?If (R) is symmetric, which conclusion from ((a,b)\in R) would be incorrect?Which relation is symmetric but not necessarily reflexive?