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Class 12 · Mathematics
→On (A={1,2,3,4}), the relation (R={(a,b):a\mid b}) is defined. Choose the correct option about (R).
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3),(2,2)}). Which statement is correct?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), the relation (R={(a,b):a\le b}) is given. Why is this relation transitive?
Class 12 · Mathematics
→At hard level, what is the best written method to check a transitive relation?
Class 12 · Mathematics
→If (R={(2,3),(3,5),(5,2)}) is to be made transitive, which pairs arise in the first layer?
Class 12 · Mathematics
→If (R) is missing a pair ((a,b)), does that alone prove (R) is not transitive?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2),(3,1)}), which pair must be added to make it transitive?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2),(3,1),(3,2)}), is (R) transitive?
Class 12 · Mathematics
→If (R) is transitive and contains ((x,x)) and ((x,y)), which conclusion is correct?
Class 12 · Mathematics
→If (R) is transitive and contains ((x,y)) and ((y,y)), which conclusion is correct?
Class 12 · Mathematics
→If (R={(1,2),(2,4),(4,8),(1,4),(2,8)}), which pair should be added to fill the main transitivity gap?
Class 12 · Mathematics
→If (R={(1,2),(2,4),(4,8),(1,4),(2,8),(1,8)}), what is the correct conclusion for (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (ab<0). What type is (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (ab>0). Is this relation transitive?
Class 12 · Mathematics
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }a^2+b^2=0}), what type is (R)?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cap S)?
Class 12 · Mathematics
→If (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cup S)?
Class 12 · Mathematics
→If (R) is transitive and (S) is the identity relation, what is correct about (R\cap S)?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b\in\mathbb{Q}). What type will (R^{-1}) be?
Class 12 · Mathematics
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