Q. 64.3( 8 Votes )

# Given R = {(x, y) : x, y ∈ **W**, x2 + y2 = 25}. Find the domain and Range of R.

Answer :

Given: R = {(x, y) : x, y ∈**W**, x^{2} + y^{2} = 25}

To find: the domain and Range of R

Explanation: Given R = {(x, y) : x, y ∈**W**, x^{2} + y^{2} = 25}

This means set R contains all whole numbers such that the relation between the elements of the set satisfy the condition x^{2} + y^{2} = 25, so

R = {(0,5), (3,4), (4, 3), (5,0)}

Now we need to find the domain and range of set R.

So, the domain of R consists of all the first elements of all the ordered pairs of R, so

Domain of R = {0, 3, 4, 5}

And the range of R contains all the second elements of all the ordered pairs of R, so

Range of R = {5, 4, 3, 0}

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