Mathematics
Symmetric relation
Practice questions
On the set (A={1,2,3}), the relation (R={(1,2),(2,1),(3,3)}) is given. What type of relation is it?If a relation (R) contains ((4,7)) and (R) is symmetric, which ordered pair must definitely be in (R)?On (A={1,2}), (R={(1,1),(1,2)}) is given. Which pair must be added to make it symmetric?Which statement correctly identifies a symmetric relation?On the set (A={1,2,3}), which relation is not symmetric?If (R={(2,2),(3,5),(5,3)}), which statement about (R) is correct?On (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Why is (R) not symmetric?Is the empty relation (R=\varnothing) on a non-empty set (A) symmetric or not?Is the universal relation (R=A \times A) on a set (A) symmetric or not?On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). Why is this relation symmetric?If (R) is symmetric and ((6,9) \in R), which statement is correct?Choose the correct option for the relation (R={(1,2),(2,1),(2,2),(3,1),(1,3)}).On (A={a,b}), (R={(a,b),(b,a)}). Is (R) symmetric?Which relation on (A={1,2}) is symmetric?If (R={(x,y):x=y}) is defined on a set (A), what type of relation is (R)?On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Why is (R) symmetric?On (A={1,2,3}), (R={(a,b):a-b=0}). What type of relation is it?In which situation will a relation (R) be called symmetric?On (A={1,2,3}), which pair must be added to (R={(1,3),(3,1),(2,3)}) to make it symmetric?If a relation is made only of pairs like ((a,a)), what can be said about symmetry?