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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if (a) and (b) leave the same remainder on division by (3). Choose the correct option for (R).
Class 12 · Mathematics
→On natural numbers, (aRb) if (b=2a). What is the correct conclusion about (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,2),(2,3),(1,3),(3,2)}). Why is (R) not transitive?
Class 12 · Mathematics
→On a set (A), the identity relation (I={(a,a):a\in A}) is given. Choose the correct option about (I).
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Choose the correct statement about (R).
Class 12 · Mathematics
→On real numbers, (aRb) if (a^3\le b^3). Which option about transitivity of (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,3),(3,3),(3,4),(1,4),(4,4)}). Choose the correct conclusion about (R).
Class 12 · Mathematics
→On integers, (aRb) if (a-b) is even and (a\le b). Choose the correct statement about (R).
Class 12 · Mathematics
→On real numbers, (aRb) if (a=b) or (a<b). Choose the correct option for (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,2)}). Which pair is necessarily required for transitivity?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}). What is (R)?
Class 12 · Mathematics
→On a set (A), (R) is transitive and (R\subseteq S). Is it certain that (S) is transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a+b\text{ is odd}}). Which statement about (R) is correct?
Class 12 · Mathematics
→On integers, (aRb) if (a+b) is divisible by (4). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,4,8,16}), (aRb) if (b/a) is an integer. What is the correct conclusion for (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b) is an integer. Choose the correct option about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3)}). Which pair is definitely required to satisfy transitivity?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(3,4)}). Choose the correct statement about (R).
Class 12 · Mathematics
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