Consider the equation \( (1+a+b)^{2}=3\left(1+a^{2}+b^{2}\right) \), where \( a, b \) are real n...

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Consider the equation \( (1+a+b)^{2}=3\left(1+a^{2}+b^{2}\right) \), where \( a, b \) are real numbers. Then
(a) There is no solution pair \( (a, b) \).
(b) There are infinitely many solution pairs \( (a, b) \).
(c) There are exactly two solution pairs \( (a, b) \).
- (d) There is exactly one solution pair \( (a, b) \).
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