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Class 12 · Mathematics

In which situation will a relation R be called symmetric?

Class 12 · Mathematics

If (a) and (b) are real numbers and relation (R) is defined by (a=b), what is the correct statement about (R)?

Class 12 · Mathematics

The relation (R={(a,b):a-b=0}) is given on a set (A). What type of relation is it?

Class 12 · Mathematics

If (R) is symmetric and ((4,4)\in R), what conclusion follows?

Class 12 · Mathematics

Which relation on (A={1,2}) is not symmetric?

Class 12 · Mathematics

Choose the correct statement about the universal relation (A\times A) on (A={1,2,3}).

Class 12 · Mathematics

What is the nature of the empty relation (R=\varnothing) on (A={1,2})?

Class 12 · Mathematics

If (R={(2,5),(5,2),(4,6)}), why is (R) not symmetric?

Class 12 · Mathematics

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

Class 12 · Mathematics

Which statement gives the correct definition of a symmetric relation?

Class 12 · Mathematics

If a relation contains ((7,9)) and the relation is symmetric, which pair must be present?

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Which pair must be added to make it symmetric?

Class 12 · Mathematics

Is the relation (R={(1,2),(2,3),(3,2),(2,1)}) symmetric or not?

Class 12 · Mathematics

If (R={(3,4),(4,3),(5,5)}), choose the correct statement about (R).

Class 12 · Mathematics

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

Class 12 · Mathematics

Which small example correctly represents a symmetric relation?

Class 12 · Mathematics

If (R={(1,2),(2,1),(3,4)}), which pair should be added to make it symmetric?

Class 12 · Mathematics

In a symmetric relation, is any special checking needed for a pair like ((6,6))?

Class 12 · Mathematics

If in a relation ((b,a)) is always present whenever ((a,b)) is present, what is the name of the relation?

Class 12 · Mathematics

If (R={(1,3),(3,1),(2,2),(3,3)}), what is the correct conclusion?