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Class 12 · Mathematics
→How many symmetric relations can be formed on A = {1, 2, 3}?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|=2}). Choose the correct statement about (R).
Class 12 · Mathematics
→On the set of real numbers, relation (R) is defined by (aRb) if and only if (a-b>0). Is (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) is defined. What type of relation is it?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) is given. Which minimum ordered pair must be added to make (R) symmetric?
Class 12 · Mathematics
→Which is the most accurate definition of a symmetric relation?
Class 12 · Mathematics
→On (A={1,2,3}), which relation is reflexive but not symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), which relation is symmetric but not reflexive?
Class 12 · Mathematics
→If a relation contains ((2,5)) but does not contain ((5,2)), which conclusion is definite?
Class 12 · Mathematics
→On real numbers, (R={(a,b):a^2-b^2=0}) is given. What type is this relation?
Class 12 · Mathematics
→On real numbers, (R={(a,b):a^2+b^2=1}). Which statement about (R) is correct?
Class 12 · Mathematics
→If (R) and (S) are symmetric relations, which statement about the composition (R\circ S) is always true?
Class 12 · Mathematics
→If (A) has (4) elements, how many symmetric relations have no diagonal pair?
Class 12 · Mathematics
→If (A) has (4) elements, how many symmetric relations necessarily contain all diagonal pairs?
Class 12 · Mathematics
→What is the total number of symmetric relations on (A={1,2,3,4,5})?
Class 12 · Mathematics
→If a relation matrix has (m_{24}=1) and (m_{42}=0), what can be said about the relation?
Class 12 · Mathematics
→In the matrix of a symmetric relation, what is true about entries outside the main diagonal?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\cup R^{-1})?
Class 12 · Mathematics
→For any relation R, which statement about R ∪ R⁻¹ is always true?
Class 12 · Mathematics
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