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

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Correct option is C

Given set is a, b: 2a2+3b2=35, a,b∈ZWe can see that, 2±22+3±32=35and 2(±4)2+3±12=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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The number of elements in the set a, b: 2a2+3b2=35, a,b∈Z, where Z is the set of all integers, is

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