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Question

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

A
2
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B
8
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C
4
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D
12
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Solution

The correct option is C 8
(a,b):2a2+3b2=35,a,bZ
2(±2)2+3(±3)2=35 and 2(±4)2+3(±1)2=35
(a,b)=(2,3),(2,3),(2,3),(2,3),(4,1),(4,1),(4,1),(4,1)

i.e. 8 elements

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