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Class 12 · Mathematics · Expert
→A set (A) has (6) elements. How many relations on (A) are both symmetric and reflexive?
Class 12 · Mathematics · Expert
→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 12 · Mathematics · Hard
→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 · Hard
→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 · Hard
→If (R={(a,b):|a-b|\le 2}) is defined on integers, choose the correct statement about (R).
Class 12 · Mathematics · Hard
→If (R) is symmetric on (A={1,2,3}) and ((1,2),(2,3),(3,1)\in R), which pairs must also be in (R) at minimum?
Class 12 · Mathematics · Hard
→Which option gives a relation on (A={1,2,3}) that is symmetric but not reflexive?
Class 12 · Mathematics · Hard
→If a relation (R) satisfies (R=R^{-1}), what is the correct conclusion about (R)?
Class 12 · Mathematics · Hard
→If R is symmetric, which statement about R⁻¹ is correct?
Class 12 · Mathematics · Hard
→If (A={1,2,3,4,5}), the number of symmetric relations on (A) equals which of the following?
Class 12 · Mathematics · Hard
→If the matrix of a relation on (A={1,2,3}) is (M=\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}), is the relation symmetric?
Class 12 · Mathematics · Hard
→If (A={1,2,3,4}) and (R={(a,b):a) and (b) have the same remainder when divided by (2)(}), choose the correct statement about (R).
Class 12 · Mathematics · Hard
→For the relation (R={(a,b):a^2=b^2}) on the set of real numbers, what is the correct statement?
Class 12 · Mathematics · Hard
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}), (R) is not symmetric because which pair is missing?
Class 12 · Mathematics · Hard
→If (R) and (S) are two symmetric relations on (A), choose the correct statement about (R\cup S).
Class 12 · Mathematics · Hard
→If (R) and (S) are two symmetric relations on (A), what is true about (R\cap S)?
Class 12 · Mathematics · Hard
→For the relation (R={(x,y):x-y\text{ is odd}}), where (x,y\in {1,2,3,4}), which statement is correct?
Class 12 · Mathematics · Hard
→If (A={1,2,3}) and (R={(1,2),(2,1),(2,3),(3,2)}), choose the correct statement about (R).
Class 12 · Mathematics · Hard
→If (R) is a symmetric relation and ((5,8) \in R), which pair must definitely belong to (R)?
Class 12 · Mathematics · Hard
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