Mathematics
Symmetric relation
Practice questions
On the set (A={1,2}), the relation (R={(1,1),(1,2),(2,1)}) is given. What type of relation is it?If (R={(3,4),(4,3),(5,5)}), choose the correct statement about (R).Is the relation (R={(1,2),(2,3),(3,2),(2,1)}) symmetric or not?On (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Which pair must be added to make it symmetric?If a relation contains ((7,9)) and the relation is symmetric, which pair must be present?Which statement gives the correct definition of a symmetric relation?Choose the correct option for (R={(1,1),(2,2),(3,3)}).If (R={(2,5),(5,2),(4,6)}), why is (R) not symmetric?What is the nature of the empty relation (R=\varnothing) on (A={1,2})?Choose the correct statement about the universal relation (A\times A) on (A={1,2,3}).Which relation on (A={1,2}) is not symmetric?If (R) is symmetric and ((4,4)\in R), what conclusion follows?The relation (R={(a,b):a-b=0}) is given on a set (A). What type of relation is it?If (a) and (b) are real numbers and relation (R) is defined by (a=b), what is the correct statement about (R)?In which situation will a relation R be called symmetric?Choose the correct answer for (R={(1,3),(3,1),(2,2),(3,3)}).If (R={(1,2),(2,1),(1,3)}), which pair is needed to make (R) symmetric?Which relation on A = {1,2,3} is symmetric?If (R) is symmetric and ((p,q)\in R), which statement is correct?The relation (R={(x,y):x+y=5}) is considered on real numbers. What is it?