A variable line through the point $\mathrm{P}(-1,2)$ cuts the coordinate axes at $\mathrm{A}$ and $\mathrm{B}$ respectively. If $\mathrm{Q}$ is a point on $\mathrm{AB}$ such that $\mathrm{PA}, \mathrm{PQ}$ and $\mathrm{PB}$ are in a harmonic progression, then the locus of $Q$ is

• A

  $y^2=2 x$
• B

  $x^2+y^2=1$
• Correct answer
  C

  $y=2 x$
• D

  $x^2=4 y$

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