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Class 12 · Mathematics

Which of the following matrices represents a symmetric relation?

Class 12 · Mathematics

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

Class 12 · Mathematics

Which option gives a relation that is not symmetric?

Class 12 · Mathematics

If (A={1,2}), how many symmetric relations are possible on (A)?

Class 12 · Mathematics

If (A) has (n) elements, what is the total number of symmetric relations on (A)?

Class 12 · Mathematics

If (A) has 4 elements, how many symmetric relations can be formed on (A)?

Class 12 · Mathematics

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

Class 12 · Mathematics

On (A={1,2,3}), (R={(1,2),(2,1),(1,3),(3,1),(2,2)}). Choose the correct option about (R).

Class 12 · Mathematics

If (R) is symmetric, which of the following statements is always true?

Class 12 · Mathematics

If a relation (R) is symmetric and ((5,8)\in R), which pair must definitely belong to (R)?

Class 12 · Mathematics

In which relation is symmetry definitely present?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). Choose the correct statement about (R).

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). What can be said about this relation?

Class 12 · Mathematics

If (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which pair must be added to make (R) symmetric?

Class 12 · Mathematics

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

Class 12 · Mathematics

What is the safest method to identify a symmetric relation?

Class 12 · Mathematics

If (R={(1,2),(2,1),(2,4),(4,2),(1,4)}), which pair must be added in the symmetric extension?

Class 12 · Mathematics

Which option gives the correct minimum correction for making the relation symmetric?

Class 12 · Mathematics

On (A={1,2,3,4}), what type is (R={(a,b):a+b\text{ and }b+a\text{ are both equal to }6})?

Class 12 · Mathematics

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