Two distinct complex numbers $a, b$ are such that the roots of $x^2+b x+a=0$ are squares of the roots of $x^2+a x+b=0$. Let $X=\sum_{k=0}^{2022} a^k$ and $Y=\sum_{k=1}^{2022} b^k$. Then $X+Y$ is

• A

  $\sqrt{-1}$
• Correct answer
  B

  1
• C

  0
• D

  2

Hence, the correct answer is option: 'B'.