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Class 12 · Mathematics
→If (R\cap R^{-1}=R), what is the correct conclusion about (R)?
Class 12 · Mathematics
→For a relation (R), what is the smallest symmetric relation that contains (R)?
Class 12 · Mathematics
→For any relation R, which statement about R ∪ R⁻¹ is always true?
Class 12 · Mathematics
→If (R) is a symmetric relation, what is true about (R\cup R^{-1})?
Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3,4}) and ((1,2),(2,3),(3,4)\in R), what is the minimum number of off-diagonal pairs in (R)?
Class 12 · Mathematics
→How many symmetric relations on (A={1,2,3,4}) contain exactly two diagonal pairs?
Class 12 · Mathematics
→If the matrix of a relation is (M=\begin{bmatrix}0&1&1\1&1&0\1&0&1\end{bmatrix}), choose the correct statement.
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):|a-b|=2}), how many ordered pairs are in (R)?
Class 12 · Mathematics
→If (R={(x,y):x-y>0}) is defined on real numbers, why is (R) not symmetric?
Class 12 · Mathematics
→If (R={(a,b):a+b=0}) is defined on integers, what is the correct statement about (R)?
Class 12 · Mathematics
→If (R) and (S) are symmetric relations, which additional condition is sufficient for (R\circ S) to be symmetric?
Class 12 · Mathematics
→If (R) and (S) are symmetric relations on (A), which statement about (R-S) is correct?
Class 12 · Mathematics
→If (R) is symmetric and (S\subseteq R), which conclusion about (S) is always correct?
Class 12 · Mathematics
→If (A={1,2,3,4,5}), how many symmetric relations on (A) contain no diagonal pair?
Class 12 · Mathematics
→A set (A) has (6) elements. How many relations on (A) are both symmetric and reflexive?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R={(1,2),(2,1),(1,3),(3,1),(2,4)}), what will be the smallest symmetric extension of (R)?
Class 11 · Political Science
→Why is it important to understand the relationship between individual and society in political theory?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), choose the correct statement about (R).
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R) contains exactly those pairs in which both numbers are odd or both numbers are even, which statement is correct about (R)?
Class 12 · Mathematics
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