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Class 12 · Mathematics
→If (R) is symmetric and has no diagonal pair, which statement is correct?
Class 12 · Mathematics
→If (R) is symmetric on a set (A), what is true about (R\cap\Delta), where (\Delta={(a,a):a\in A})?
Class 12 · Mathematics
→If (R) and (S) are symmetric, what is true about (R\triangle S), where (R\triangle S=(R-S)\cup(S-R))?
Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3}) and contains exactly one diagonal pair and exactly two off-diagonal ordered pairs, how many such relations are possible?
Class 12 · Mathematics
→If (R={(a,b):a\equiv 2b \pmod{5}}) is defined on integers, is (R) symmetric?
Class 12 · Mathematics
→If (R={(a,b):a\equiv b \pmod{3}}) is defined on integers, what is true about (R)?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (R) is symmetric with ((1,4)\notin R), which conclusion is definite?
Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3,4}) and exactly one off-diagonal pair group is selected, how many off-diagonal ordered pairs are in (R)?
Class 12 · Mathematics
→If R is symmetric, which statement about A×A−R is correct?
Class 12 · Mathematics
→If (R) is a symmetric relation and (T) is a relation such that (R\subseteq T\subseteq R\cup R^{-1}), what is true about (T)?
Class 12 · Mathematics
→If a symmetric relation on (A={1,2,3}) has exactly (5) pairs, which value is possible for the number of diagonal pairs?
Class 12 · Mathematics
→A set (A) has (n) elements. Which is the correct formula for the number of symmetric relations on (A)?
Class 12 · Mathematics
→If (R={(a,b):a=b+2}) on integers, (R) is not symmetric. Which is the correct counterexample?
Class 12 · Mathematics
→If (R={(a,b):a^2-b^2=0}) is defined on real numbers, choose the correct statement about (R).
Class 12 · Mathematics
→If (R={(a,b):a^2+b^2=25}) is defined on integers, what is the correct statement about (R)?
Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3,4}) and has exactly (10) pairs, which value is impossible for the number of diagonal pairs?
Class 12 · Mathematics
→If (A={1,2,3}) and the relation matrix is (M=\begin{bmatrix}1&0&1\1&0&0\1&0&1\end{bmatrix}), what is the issue with symmetry?
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
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