If the pole of the line $x+2 b y-5=0$ with respect to the circle $S \equiv x^2+y^2-4 x-6 y+4=0$ lies on the line $x+b y+1=0$, then the polar of the point $(b,-b)$ with respect to the circle $S=0$ is

• Correct answer
  A

  $5 y-6=0$
• B

  $y-6=0$
• C

  $x+5 y-6=0$
• D

  $5 x+y-6=0$

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