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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 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
→Why is R = {(1,2), (2,3)} not transitive on A = {1,2,3}?
Class 11 · Mathematics
→Is (R={(1,2),(2,3),(1,3)}) transitive on (A={1,2,3})?
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
→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
→For (R={(a,b):a \mid b}) on (A={1,2,3,4}), choose the correct option.
Class 11 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), why is (R) not transitive?
Class 11 · Mathematics
→If (R) is transitive and ( (1,4)\in R ), ( (4,9)\in R ), which pair is necessary?
Class 11 · Mathematics
→If (R={(1,2),(2,3)}) on (A={1,2,3}), which ordered pair should be added to make it transitive?
Class 11 · Mathematics
→If (A={1,2,3}) and (R={(1,2),(2,3),(1,3)}), which statement is true for (R)?
Class 11 · Mathematics
→When is a relation (R) called transitive?
Class 11 · Mathematics
→If (R={(1,2),(2,3)}) on (A={1,2,3}), why does transitivity fail?
Class 11 · Mathematics
→Let \(S=\{1,2,3\}\). Which of the following relations on \(S\) is an equivalence relation?
Class 11 · Mathematics
→On the set (A={1,2,3}), what property is shown by (R={(1,2),(2,3),(1,3)})?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (R={(a,b):a\ge b}), which statement about (R) is correct?
Class 11 · Mathematics
→If (A={1,2,3,4,6}) and (aRb) if (a\mid b), which statement is correct?
Class 11 · Mathematics
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