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Class 12 · Mathematics · Expert

How many symmetric relations on (A={1,2,3}) contain ((1,2))?

Class 12 · Mathematics · Expert

If (R={(a,b):a=2b}) on real numbers, why is (R) not symmetric?

Class 12 · Mathematics · Expert

If (R={(a,b):a+b=10}) on real numbers, what type is (R)?

Class 12 · Mathematics · Expert

On real numbers, (R={(a,b):|a-b|<2}). What is correct about (R)?

Class 12 · Mathematics · Expert

If a relation (R) is symmetric, which of the following is not necessary?

Class 12 · Mathematics · Expert

In a symmetric relation on (A={1,2,3}), ((1,2)) and ((2,3)) are present. Which pairs must be present at minimum?

Class 12 · Mathematics · Expert

Why is (R={(a,b):a\mid b}) on natural numbers not symmetric?

Class 12 · Mathematics · Expert

Which relation is definitely symmetric?

Class 12 · Mathematics · Expert

On (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(4,2),(3,4)}). How many minimum pairs must be added to make it symmetric?

Class 12 · Mathematics · Expert

On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). How many pairs must be added to make (R) both reflexive and symmetric?

Class 12 · Mathematics · Expert

If (R) is a symmetric relation, which statement about (R\setminus S) is always true?

Class 12 · Mathematics · Expert

If (R) and (S) are both symmetric relations on (A), which statement about (R\cup S) is correct?

Class 12 · Mathematics · Expert

If (R) and (S) are both symmetric relations on (A), which statement about (R\cap S) is correct?

Class 12 · Mathematics · Expert

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3),(3,1)}). Which property is correct?

Class 12 · Mathematics · Expert

On real numbers, (R={(a,b):a-b=3}) is given. What is the correct reason it is not symmetric?

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

What is the correct way to identify a symmetric relation in a directed graph?

Class 12 · Mathematics · Expert

If the matrix of a relation is (M=\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}), why is it not symmetric?

Class 12 · Mathematics · Expert

If the matrix of a relation is (M=\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}), which statement about the relation is correct?

Class 12 · Mathematics · Expert

For the identity relation (I={(1,1),(2,2),(3,3)}) on (A={1,2,3}), what is the correct conclusion?