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Class 12 · Mathematics · Hard
→On integers, (R={(a,b):a-b\equiv 0 \pmod{5}}). Why is (R) symmetric?
Class 12 · Mathematics · Hard
→On integers, (R={(a,b):a-b\equiv 1 \pmod{4}}). Is (R) symmetric?
Class 12 · Mathematics · Hard
→On integers, (R={(a,b):a+b\equiv 0 \pmod{3}}). Which statement is correct for (R)?
Class 12 · Mathematics · Hard
→On real numbers, the relation (R={(a,b):a^2=b^2}) is given. Choose the correct statement about (R).
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Is (R) symmetric?
Class 12 · Mathematics · Medium
→On A={1,2,3,4}, R={(a,b): |a-b|=1}. What type is R?
Class 12 · Mathematics · Hard
→For every symmetric relation (R), will (R\circ R) also be symmetric?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Will ((1,3)) belong to (R\circ R)?
Class 12 · Mathematics · Hard
→If (R) is symmetric, which statement is always true about (R\setminus S)?
Class 12 · Mathematics · Hard
→If (R) and (S) are both symmetric relations on (A), which statement is true about (R\cup S)?
Class 12 · Mathematics · Hard
→If (R) and (S) are both symmetric relations on (A), what is true about (R\cap S)?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which statement is correct?
Class 12 · Mathematics · Medium
→On A={1,2,3}, R={(1,1),(2,2),(3,3),(1,2),(2,1)}. Which statement is correct?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(a,b):a<b}). Why is (R) not symmetric?
Class 12 · Mathematics · Hard
→If (R=R^{-1}), what can be said about (R)?
Class 12 · Mathematics · Hard
→If (R) is a symmetric relation on a set (A), which statement is true for (R^{-1})?
Class 12 · Mathematics · Hard
→Which matrix represents a symmetric relation?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), the matrix of a relation is (\begin{pmatrix}1&0&1&0\0&1&0&1\1&0&0&0\0&1&0&1\end{pmatrix}). What type is the relation?
Class 12 · Mathematics · Hard
→If (A) has (n) elements, which is the total number of symmetric relations on (A)?
Class 12 · Mathematics · Hard
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