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 The number of elements in the set (a,b):2a2+3b2=35,a,bZ}, where Z is the set of all integers, is 

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By Expert Faculty of Sri Chaitanya
a
2
b
4
c
8
d
12

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detailed solution

Correct option is C

Given set is (a,b):2a2+3b2=35,a,b∈Z We can see that, 2(±2)2+3(±3)2=35 and 2(±4)2+3(±1)2=35∴ (2,3),(2,−3),(−2,−3),(−2,3),(4,1),(4,−1),(−4,−1),(-4,1)eight elements of the set, so n=8 .


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