Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of elements in the set {(a, b) : a 2 + b 2 = 50; a, b 
Z}, where Z is the set of all integers, is
Text Solution
Verified by ExpertsThe correct answer is:
12
(12)
a 2 +b 2 = 50
a = 1 
b 2 = 49
b = ±7
a = 2, 3, 4, 6 do not give integer value of b .
a = 5 
b 2 = 25 
b = ±5
a = 7 
b 2 = 1
b = ±l
Similarly,
A = - 1 
b = ±7
a = -5 
b = ±5
a = -7 
b = ±l
The required number of elements (a, b) = 12
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