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Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,1),(2,3),(3,2)}). Which property is definitely present?
Class 12 · Mathematics
→If (R) is symmetric, what can be said about the complement of (R) with respect to (A\times A)?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations, what is the correct statement about (R\cup S)?
Class 12 · Mathematics
→If (R) and (S) are both symmetric relations, what is true about (R\cap S)?
Class 12 · Mathematics
→Which option gives a relation that is both symmetric and reflexive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+2=b}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is (R)?
Class 12 · Mathematics
→If (R^{-1}=R), what is the correct conclusion about (R)?
Class 12 · Mathematics
→If R is symmetric, which statement about R⁻¹ is correct?
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
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