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, x2 + y2 = 25}
To find: the domain and Range of R
Explanation: Given R = {(x, y) : x, y ∈W, x2 + y2 = 25}
This means set R contains all whole numbers such that the relation between the elements of the set satisfy the condition x2 + y2 = 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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