Let A= {1, 2, 3, 4} and R : A to A be relation defined by R = { (1, 1), (2, 3), (3, 4), ( 4, 2) } .

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1.Relation and Function

hard

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.

(JEE MAIN-2013)

Solution

Domain $= \{ 1, 2, 3, 4\}$
Range $= \{ 1, 2, 3, 4\}$
$\therefore $ Domain $=$ Range
Hence the relation $R$ is onto function.

Standard 12

Mathematics

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