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Class 12 · Mathematics

On (A={1,2,3,4}), why is (R={(a,b):a=b+1}) not symmetric?

Class 12 · Mathematics

For (R={(a,b):a\equiv b \pmod{3}}) on (A={1,2,3,4,5}), which statement is correct?

Class 12 · Mathematics

On (A={1,2,3,4,5}), what type is (R={(a,b):a\equiv b \pmod{2}})?

Class 12 · Mathematics

Why is the empty relation (\varnothing) considered symmetric?

Class 12 · Mathematics

If (A={1,2,3}) and (R=A\times A), why is (R) symmetric?

Class 12 · Mathematics

If the matrix of relation (R) has (m_{23}=1) and (m_{32}=0), what can be said about (R)?

Class 12 · Mathematics

If the matrix of relation (R) is (\begin{pmatrix}1&0&1\0&1&0\1&0&1\end{pmatrix}), what type is (R)?

Class 12 · Mathematics

Which option gives a relation that is not symmetric but contains some diagonal pairs?

Class 12 · Mathematics

Which option gives a relation that is symmetric but not reflexive, where (A={1,2,3})?

Class 12 · Mathematics

If (R={(1,1),(1,2),(2,1),(2,2),(2,3),(3,2)}), choose the correct statement about (R).

Class 12 · Mathematics

If (R) is symmetric and ((5,7)\in R), which of the following conclusions must be true?

Class 12 · Mathematics

On (A={1,2,3,4}), which statement is correct for (R={(a,b):|a-b|=2})?

Class 12 · Mathematics

On (A={1,2,3}), why is (R={(a,b):a\le b}) not symmetric?

Class 12 · Mathematics

If (R={(1,2),(2,1),(2,3),(3,2),(3,4)}), why is (R) not symmetric?

Class 12 · Mathematics

If the inverse (R^{-1}) of a relation (R) is equal to the relation itself, what is the correct conclusion about (R)?

Class 12 · Mathematics

On (A={1,2,3,4}), what type is the relation (R={(a,b):a-b\text{ is odd}})?

Class 12 · Mathematics

On (A={1,2,3,4}), which statement is correct about (R={(a,b):a+b\text{ is even}})?

Class 12 · Mathematics

If (R={(1,3),(3,1),(2,4)}), which pair is sufficient to make (R) symmetric?

Class 12 · Mathematics

If (A={1,2,3,4}) and (R={(1,2),(2,1),(2,4),(4,2),(3,3)}), what is the correct conclusion about (R)?

Class 12 · Mathematics

The relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?