The number of elements in the set {(a,b) : 2a2 + 3b2 = 35, a,b ∈ Z}, where Z is the set of all integers, is :
The number of elements in the set {(a,b) : 2a2 + 3b2 = 35, a,b ∈ Z}, where Z is the set of all integers, is :
Option 1 -
2
Option 2 -
4
Option 3 -
8
Option 4 -
12
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:2a² + 3b² = 35
a=0, b≠I
a=±1, b²=11 ⇒ b≠I
a=±2, b=9 ⇒ b=3 or -3
a=±3, b²=17/3 ⇒ b≠I
a=±4, b²=1 ⇒ b=±1
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