RELATED QUESTIONS
Symmetric
Class 12 Mathematics के इस tag से जुड़े questions।
Class 12 · Mathematics
→Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?
Class 12 · Mathematics
→If a relation is reflexive and transitive but not symmetric, what will it be?
Class 12 · Mathematics
→If a relation is an equivalence relation, must it be symmetric?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?
Class 12 · Mathematics
→Which three properties must a relation have to be an equivalence relation?
Class 12 · Mathematics
→For a set A with n elements, how many unordered pair-positions must be chosen to specify a symmetric relation?
Class 12 · Mathematics
→If (R) is a symmetric relation, what is (R\cap R^{-1}) equal to?
Class 12 · Mathematics
→For a real-life relation like (R={(a,b):a) is a friend of (b}), what is needed to consider it symmetric?
Class 12 · Mathematics
→If a relation contains only diagonal pairs of the form ((a,a)), why will it be symmetric?
Class 12 · Mathematics
→Which statement is correct about the identity relation (I={(a,a):a\in A})?
Class 12 · Mathematics
→Why is the empty relation (\varnothing) on a non-empty set (A) considered symmetric?
Class 12 · Mathematics
→If (R^{-1}=R), what is the correct conclusion about (R)?
Class 12 · Mathematics
→For any relation (R), which statement about (R\cup R^{-1}) is always true?
Class 12 · Mathematics
→For any relation (R), which statement about (R\cap R^{-1}) is always true?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b\le6). Choose the correct statement.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2+b^2=1). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a) and (b) have different remainders when divided by (2). What type of relation is it?
Class 12 · Mathematics
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