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  4. The figure given below shows a relation R between the sets A and B. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/d0ea66592548b5ce5a58ebd6c8250dc0-.png /> Then which of the following is correct? I. The relation R in set-builder form is ( x , y ): x is the square of y , x ∈ A , y ∈ B II. The domain of the relation R is 4,9,25 III. The range of the relation R is -5,-3,-2,2,3,5

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Q. The figure given below shows a relation $R$ between the sets $A$ and $B$.
image
Then which of the following is correct?
I. The relation $R$ in set-builder form is $\{( x , y ): x$ is the square of $y , x \in A , y \in B \}$
II. The domain of the relation $R$ is $\{4,9,25\}$
III. The range of the relation $R$ is $\{-5,-3,-2,2,3,5\}$

Relations and Functions

Solution:

$R =\{(9,3),(9,-3),(4,2),(4,-2),(25,5),(25,-5)\}$
Domain $=$ Set of first elements of ordered pairs in $R$.
Range $=$ Set of second elements of ordered pairs in $R$.