$\text{ If }9+\mathrm{f}\text{'}\left(\mathrm{x}\right)+\mathrm{f}\text{'}\text{'}\left(\mathrm{x}\right)={\mathrm{x}}^2+{\mathrm{f}}^2\left(\mathrm{x}\right)\text{ where }\mathrm{f}\left(\mathrm{x}\right)\text{ is twice differentiable function such that }$

$\mathrm{f}\text{'}\text{'}\left(\mathrm{x}\right)\ne 0\text{ at }\mathrm{P}{\text{ and }}^{\text{'}}\mathrm{P}\text{ ' be the point of maximum of }\mathrm{y}=\mathrm{f}\left(\mathrm{x}\right)\text{ then the number of }$

$\text{ tangents which can be drawn from }\mathrm{P}\text{ to the circle }{x}^2+y^2=9\text{ is }$

• A

  0

• B

  1

• C

  3

• D

  2