If $y$-axis touches the circle $x^2+y^2+g x+f y+\frac{c}{4}=0$, then the normal at this point intersects the circle at the point

• A

  $\left(-\frac{\mathrm{g}}{2},-\frac{\mathrm{f}}{2}\right)$
• Correct answer
  B

  $\left(-\mathrm{g},-\frac{\mathrm{f}}{2}\right)$
• C

  $\left(-\frac{\mathrm{g}}{2}, \mathrm{f}\right)$
• D

  $(-\mathrm{g},-\mathrm{f})$

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