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Class 11 · Mathematics
→For the relation \(R=\{(a,b):a\ne b\}\) on the set \(A=\{1,2,3\}\), choose the correct statement.
Class 11 · Mathematics
→On the set \(P=\{\{1\},\{2\},\{1,2\}\}\), what type of relation is \(R=\{(A,B): A\subseteq B,\ A,B\in P\}\)?
Class 11 · Mathematics
→Which properties are needed for relation (R) on set (A) to be a partial order?
Class 11 · Mathematics
→Which properties are required for a relation R on a set A to be an equivalence relation?
Class 11 · Mathematics
→If (R) is an equivalence relation and ((a,b)\in R), which statement is always true?
Class 11 · Mathematics
→How many equivalence classes are formed by the relation R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)} defined on the set A={1,2,3,4}?
Class 12 · Mathematics
→On A = {1,2,3,4,5}, for aRb when a ≡ b (mod 3), what is the equivalence class [2]?
Class 11 · Mathematics
→Why is the relation \(R=\{(a,b)\in A\times A:a+b\ge 5\}\), defined on \(A=\{1,2,3,4\}\), not reflexive?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5\}\), let \(R=\{(a,b)\in A\times A:a+b\le 6\}\). Choose the correct statement.
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b)\in A\times A:a-b>0\}\). Which statement about this relation is correct?
Class 11 · Mathematics
→What is R = {(a,b): a² = b²} on A = {-2,-1,1,2}?
Class 11 · Mathematics
→For (R={(a,b):a^2=b^2}) on (A={1,2,3,4}), choose the correct statement.
Class 11 · Mathematics
→Which is the identity relation I_A on A = {1,2,3}?
Class 11 · Mathematics
→Which is the smallest reflexive relation on the set \(A=\{1,2,3\}\)?
Class 11 · Mathematics
→If the relation \(R\) is transitive and \((1,4)\in R\) and \((4,6)\in R\), which of the following ordered pairs must belong to \(R\)?
Class 11 · Mathematics
→If (R) is antisymmetric and ((3,7)\in R), which pair cannot be in (R)?
Class 11 · Mathematics
→If \(R\) is a symmetric relation and \((2,5)\in R\), which of the following pairs must definitely belong to \(R\)?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,6,12\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\mid b\). How many first elements are related to \(12\)?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4,5,6\}\), consider the relation \(R=\{(a,b):\gcd(a,b)=1\}\). Which of the following properties is true for this relation?
Class 11 · Mathematics
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