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Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(a,b):|a-b|>0}). Why is (R) not reflexive?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(a,b):|a-b|\ge 0}). Choose the correct answer about (R).
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R) is not reflexive. Still, what is the maximum possible number of pairs in (R)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R) is reflexive. If (R) has (5) pairs in total, how many extra pairs are there besides self-pairs?
Class 12 · Mathematics · Medium
→If (A) has (5) elements, what is the difference between the number of pairs in the smallest reflexive relation and the universal relation?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). What kind of subset of (A\times A) can (R) be called?
Class 12 · Mathematics · Medium
→On (A={0,1,2}), (R={(a,b):a+b>0}). What is the reason (R) is not reflexive?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a+b\ge 2}). What is correct about (R)?
Class 12 · Mathematics · Medium
→On A = {1, 2, 3}, let R = {(a, b) : a + b = 4}. Why is R not reflexive?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is the reason that (R) is reflexive?
Class 12 · Mathematics · Medium
→On (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct about (R)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(a,b):a^2=b^2}). Choose the correct reason for (R) being reflexive.
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), a relation contains ((1,1),(3,3),(4,4)) but not ((2,2)). What is the correct conclusion about the relation?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(1,3),(3,2)}). How many pairs will be in the reflexive closure of (R)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Medium
→If (R) is reflexive on (A) and (S) is any relation on (A), choose the correct statement about (R\cup S).
Class 12 · Mathematics · Medium
→If (R) and (S) are both reflexive relations on (A), what can be said about (R\cap S)?
Class 12 · Mathematics · Medium
→On (A={a,b,c}), (R={(a,a),(b,b),(c,c),(a,b)}) and (S={(a,a),(b,c),(c,c)}). What is correct about (R\cap S)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(3,1)}). What minimum action is needed to make it reflexive?
Class 12 · Mathematics · Medium
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