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

  • [KVPY 2016]
  • 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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