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Home » Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}. Find the domain and Range of R.
Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}. Find the domain and Range of R.
CBSE | Class 11 | Maths | NCERT Exemplar | Relations and Functions
Given R = {(x, y) : x, y ∈ W, x2 + y2 = 25}. Find the domain and Range of R.

Solution:

Provided,

R =\left\{(x, y): x, y \in W,x^{2}+y^{2}=25\right\}

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

R’s domain consists of all the first elements of all the ordered pairs of R.

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

All the second elements of all the ordered pairs of R are included in the range of R.

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

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