Write the domain of the relation R defined on the set Z of integers as follows:

(a, b) ϵR a2 + b2 = 25


Given a and b are integers, i.e. a,b Z.


Domain of R = Set of all first elements in the relation.


= Values of ‘a’ which are in the relation.


=Z (Integers)


Range of R=Set of all second elements in the relation.


=Values of ‘b’ which are in the relation.


=Z(Integers)


Since, a2+ b2 = 25 and a, b are integers;


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


(-3,4), (4, -3), (-4,3), (3, -4)}


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


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