The equation to sphere passing through origin and the points $(-1,0,0),(0,-2,0)$ and $(0,0,-3)$ is $x^2+y^2+z^2$ $+f(x, y, z)=0$. What is $f(x, y, z)$ equal to?

• A

  $-x-2 y-3 z$
• Correct answer
  B

  $x+2 y+3 z$
• C

  $x+2 y+3 z-1$
• D

  $x+2 y+3 z+1$

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