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Class 12 · Mathematics

In which situation will a relation (R) be called symmetric?

Class 12 · Mathematics

On (A={1,2,3}), (R={(a,b):a-b=0}). What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Why is (R) symmetric?

Class 12 · Mathematics

If (R={(x,y):x=y}) is defined on a set (A), what type of relation is (R)?

Class 12 · Mathematics

Which relation on (A={1,2}) is symmetric?

Class 12 · Mathematics

On (A={a,b}), (R={(a,b),(b,a)}). Is (R) symmetric?

Class 12 · Mathematics

Choose the correct option for the relation (R={(1,2),(2,1),(2,2),(3,1),(1,3)}).

Class 12 · Mathematics

If (R) is symmetric and ((6,9) \in R), which statement is correct?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). Why is this relation symmetric?

Class 12 · Mathematics

Is the universal relation (R=A \times A) on a set (A) symmetric or not?

Class 12 · Mathematics

Is the empty relation (R=\varnothing) on a non-empty set (A) symmetric or not?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Why is (R) not symmetric?

Class 12 · Mathematics

If (R={(2,2),(3,5),(5,3)}), which statement about (R) is correct?

Class 12 · Mathematics

On the set (A={1,2,3}), which relation is not symmetric?

Class 12 · Mathematics

Which statement correctly identifies a symmetric relation?

Class 12 · Mathematics

On (A={1,2}), (R={(1,1),(1,2)}) is given. Which pair must be added to make it symmetric?

Class 12 · Mathematics

If a relation (R) contains ((4,7)) and (R) is symmetric, which ordered pair must definitely be in (R)?

Class 12 · Mathematics

On the set (A={1,2,3}), the relation (R={(1,2),(2,1),(3,3)}) is given. What type of relation is it?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (R={(a,b):a-b\text{ is divisible by }7}). What fact proves that (R) is reflexive?

Class 12 · Mathematics

If (A={1,2,3,4,5}) and (R={(a,b):a^2+b^2<2ab}), is (R) reflexive?