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

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Question

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

Sum
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Solution

We have, R = {(x, y) : x, y ∈ W, x2 + y2 = 25}

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

Domain of R = Set of first element of ordered pairs in R

= {0, 3, 4, 5}

Range of R = Set of second element of ordered pairs in R

= {5, 4, 3, 0}

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Chapter 2: Relations and Functions - Exercise [Page 28]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 2 Relations and Functions
Exercise | Q 6 | Page 28

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