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Class 11 · Mathematics

If A = {1, 2, 3} and R = {(a, b) : a > b}, where a, b ∈ A, how many ordered pairs are in R?

Class 11 · Mathematics

If (R={(1,2),(1,3),(2,3)}), how many images does (1) have?

Class 11 · Mathematics

If (A={1,2}), what are the numbers of pairs in the empty relation and universal relation on (A) respectively?

Class 11 · Mathematics

What type of relation is \(R=\{(1,1),(2,2),(3,3)\}\), defined on the set \(A=\{1,2,3\}\)?

Class 11 · Mathematics

If (R={(1,a),(2,b),(3,c)}), what will be the domain of (R^{-1})?

Class 11 · Mathematics

If (A={1,2,3}), (B={1,4,9}), and (R={(x,y):y=x^2}), which pair is not in (R)?

Class 11 · Mathematics

If 8A=\{1,2\}9 and 8R=\{(1,2),(2,1)\}9, what is the inverse relation 8R^{-1}9?

Class 11 · Mathematics

If (A={a,b,c}), how many pairs will be in the identity relation on (A)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a+b\text{ is even}\}\), where \(a,b\in A\), which of the following ordered pairs belongs to \(R\)?

Class 11 · Mathematics

If (R={(1,2),(2,3),(3,1)}), what are the domain and range respectively?

Class 11 · Mathematics

If (R=\varnothing), what will be its domain?

Class 11 · Mathematics

If (R=A\times A) on (A={1,2,3}), what type of relation is (R)?

Class 11 · Mathematics

If (A={1,2,3}) and (R={(a,b):a\mid b}), where (a,b\in A), which pair is not in (R)?

Class 11 · Mathematics

If R = {(1,4), (2,4), (3,5)}, then 4 is the image of which elements?

Class 11 · Mathematics

If (R\subseteq A\times B), then (R) is called a relation from which set to which set?

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(R=\{(1,2),(2,1),(3,3)\}\), which of the following ordered pairs must belong to \(R^{-1}\)?

Class 11 · Mathematics

If (A={1,2}), (B={2,3}), and (R={(a,b):a\le b}), how many pairs are in (R)?

Class 11 · Mathematics

If R = {(1, 1), (2, 2), (3, 3)} is a relation on A = {1, 2, 3}, what is the domain of R?