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JEE Mains · Maths · STD 12 - 1. relation and function
Let \(A= \{1, 2, 3, 4\}\) and \(R : A \to A\) be the relation defined by \(R = \{ (1, 1), (2, 3), (3, 4), ( 4, 2) \}\). The correct statement is
- 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.
Answer & Solution
Correct Answer
(C) \(R\) is an onto function
Step-by-step Solution
Detailed explanation
Domain \(= \{ 1, 2, 3, 4\}\) Range \(= \{ 1, 2, 3, 4\}\) \(\therefore \) Domain \(=\) Range Hence the relation \(R\) is onto function.
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