An ant is moving on x-axis. Let coordinate of ant at any time is $P(\lambda ,0),$ and A is $(0,1)$ and B is $(0,3)$ then which of the following statement(s) are true?

Point at which $\mathrm{\angle }APB$ is minimum is $(\pm 3,0)$

Minimum value of $\mathrm{\angle }APB$ is not defined

Maximum value of $\mathrm{\angle }APB$ is not defined

Point at which $\mathrm{\angle }APB$ is maximum is $(\pm 3,0)$