A) 2
B) 4
C) 8
D) 12
E) 16
Correct Answer: C
Solution :
Given set is \[\{(a,\,b):2{{a}^{2}}+3{{b}^{2}}=35,\ a,\,b\in Z\}\] We can see that, \[2{{(\pm 2)}^{2}}+3{{(\pm 3)}^{2}}=35\] and \[2{{(\pm 4)}^{2}}+3{{(\pm 1)}^{2}}=35\] \ (2, 3), (2, -3), (-2, -3), (-2, 3), (4, 1), (4, -1), (-4, -1), (-4, 1) are 8 elements of the set. \ \[n=8\].
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