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Class 12 · Mathematics · Medium
→On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is (R) symmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Choose the correct option for (R).
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Is (R) symmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a\leq b}) is defined. Is (R) symmetric?
Class 12 · Mathematics · Medium
→If a relation (R) contains ((4,7)\in R) and (R) is symmetric, which pair must definitely belong to (R)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), the relation (R={(1,2),(2,1),(2,3),(3,2),(1,1)}) is given. Is (R) symmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), let (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).
Class 12 · Mathematics · Medium
→On the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is defined. What type of relation is it with respect to symmetry?
Class 12 · Mathematics · Medium
→On the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3)}) is given. Which ordered pair must be added at minimum to make (R) symmetric?
Class 12 · Mathematics · Medium
→What is the best exam strategy to identify a symmetric relation?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(3,3)}). Choose the correct statement about (R).
Class 12 · Mathematics · Medium
→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 · Medium
→(R={(a,b):a^2=b^2}) is given on real numbers. Which statement about (R) is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What is (R)?
Class 12 · Mathematics · Medium
→If a relation contains only diagonal pairs of the form ((a,a)), why will it be symmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}). Which missing pair does not break symmetry?
Class 12 · Mathematics · Medium
→Which option shows that a symmetric relation need not be transitive?
Class 12 · Mathematics · Medium
→If (M) is the matrix of (R), what is the correct matrix condition for (R) to be symmetric?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), a supposed symmetric relation (R) contains ((1,2)) but not ((2,1)). What does this show?
Class 12 · Mathematics · Medium
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