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Question: Answered & Verified by Expert
Let $A=\{1,2,3,4\}$ and $R: A \rightarrow A$ be the relation defined by $R=\{(1,1),(2,3),(3,4),(4,2)\}$. The correct statement is :
MathematicsFunctionsJEE MainJEE Main 2013 (09 Apr Online)
Options:
  • A
    $R$ does not have an inverse.
  • B
    $R$ is not a one to one function.
  • C
    $R$ is an onto function.
  • D
    $R$ is not a function.
Solution:
2580 Upvotes Verified Answer
The correct answer is:
$R$ is an onto function.
$\begin{aligned} & \text { Domain }=\{1,2,3,4\} \\ & \text { Range }=\{1,2,3,4\} \\ & \therefore \quad \text { Domain }=\text { Range }\end{aligned}$

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