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Class 11 · Mathematics

If \(R=\{(a,b):a,b\in\{1,2,3,4\},\ ab=4\}\), which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

If the range of a relation is \({p,q}\) and its codomain is \({p,q,r}\), which of the following statements is correct?

Class 11 · Mathematics

If A={1,2,3}, B={x,y}, and R={(1,x),(3,y)}, what is the codomain of R?

Class 11 · Mathematics

If the relation \(R=\{(1,2),(2,3),(1,3)\}\), what is the range of \(R\)?

Class 11 · Mathematics

If \(A=\{-2,-1,0,1,2\}\) and \(aRb\) means \(a^2=b^2\), which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(B=\{4,5\}\), what is any subset of \(A\times B\) called?

Class 11 · Mathematics

If a relation \(R=\{(x,x)\mid x\in A\}\) is defined on a set \(A\), what is \(R\) called?

Class 11 · Mathematics

How many relations in total can be defined on the set \(A=\{1,2\}\)?

Class 11 · Mathematics

If R = {(x, y) : x, y ∈ {1, 2, 3, 4} and x + y = 5}, how many ordered pairs are in R?

Class 11 · Mathematics

Why is the relation \(R=\{(1,1),(2,2),(1,2),(2,1)\}\) on the set \(A=\{1,2,3\}\) not reflexive?

Class 11 · Mathematics

What is the range of the relation \(R=\{(1,3),(2,3),(3,5),(4,7)\}\)?

Class 11 · Mathematics

If A={1,2,3} and R={(a,b)∈A×A : a+b<3}, what is the roster form of R?

Class 11 · Mathematics

If the relation \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) is defined on the set \(A=\{1,2,3\}\), which of the following properties does \(R\) definitely satisfy?

Class 11 · Mathematics

If \(A=\{2,3,4,5\}\) and \(R=\{(a,b)\in A\times A:a\ge b\}\), which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

If 8A=\{1,2\}9 and 8R=A\times A9, which of the following ordered pairs belongs to 8R9?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3)\}\), is \(R\) a reflexive relation on \(A\)?

Class 11 · Mathematics

If \(R=\{(a,b):a-b=0\}\), what type of ordered pairs will belong to \(R\)?

Class 11 · Mathematics

If \\(A=\{1,2,3\}\\) and \\(R=\{(1,2),(2,3)\}\\), then \\(R\\) is a subset of which of the following?

Class 11 · Mathematics

If A = {1, 2} and R = {(1, 1), (2, 2)}, what type of relation is R?

Class 11 · Mathematics

If the set \\(A=\\{1,2\\}\\), how many ordered pairs are there in \\(A\\times A\\)?