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Write the Domain of the Relation R Defined on the Set Z of Integers as Follows: (A, B) ∈ R ⇔ A2 + B2 = 25 - Mathematics

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Question

Write the domain of the relation R defined on the set Z of integers as follows:-
(a, b) ∈ R ⇔ a2 + b2 = 25

Sum

Solution

Domain of R is the set of values satisfying the relation R.
As a should be an integer, we get the given values of a:-

0,  ±3 ±4,  ±5

Thus ,

Domain of {0, ±3, ±4, ±5}

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Chapter 1: Relations - Exercise 1.3 [Page 29]

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RD Sharma Mathematics [English] Class 12
Chapter 1 Relations
Exercise 1.3 | Q 1 | Page 29

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