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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
→On the set of real numbers \(\mathbb R\), a relation \(R\) is defined by \(xRy\iff x-y\in\mathbb Q\). Choose the correct classification of this relation.
Class 11 · Mathematics
→For the relation \(R=\{(a,b):|a-b|=2\}\) defined on the set \(A=\{1,2,3,4,5\}\), which of the following properties is true?
Class 11 · Mathematics
→For R = {(a,b): |a − b| ≤ 1} on A = {1,2,3,4}, which statement is correct?
Class 11 · Mathematics
→On the set \(A=\{1,2,3,4\}\), what is the nature of the relation \(R=\{(a,b)\in A\times A : a+b\text{ is odd}\}\)?
Class 11 · Mathematics
→For the empty relation (R=\varnothing) on a non-empty set (A), which statement is correct?
Class 11 · Mathematics
→For the relation R = {(a, b) ∈ A×A : a ≤ b} on the set A = {1, 2, 3, 4}, which statement is correct?
Class 11 · Mathematics
→For the relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on the set A = {1, 2, 3}, choose the correct statement.
Class 11 · Mathematics
→Set (A) has (3) elements. How many antisymmetric relations are there on (A)?
Class 11 · Mathematics
→Set A has 3 elements. How many symmetric relations are there on A?
Class 11 · Mathematics
→If A = {1, 2, 3, 4, 5} and R = {(a, b) ∈ A × A : a + b = 6}, then what type of relation is R?
Class 11 · Mathematics
→Why is (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}) antisymmetric?
Class 11 · Mathematics
→Choose the correct statement about (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}).
Class 11 · Mathematics
→If (R={(a,b):a\leq b}) on (A={1,2,3}), which statement is true?
Class 11 · Mathematics
→If R = {(a,b): a ≠ b} on A = {1,2,3}, is R symmetric?
Class 11 · Mathematics
→If (R) is symmetric and ( (4,7)\in R ), which conclusion is correct?
Class 11 · Mathematics
→If (R={(1,1),(1,2),(2,1),(2,2),(3,3)}) on (A={1,2,3}), which type is the best example for (R)?
Class 11 · Mathematics
→If (R={(1,2),(2,1),(2,2)}), which pair is not required for (R) to be symmetric?
Class 11 · Mathematics
→If (A={1,2,3}) and (R={(1,2),(2,1),(2,3),(3,2)}), which property is true for (R)?
Class 11 · Mathematics
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