Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Consider plane $P:x+y+z=3$ and circle $x^2+y^2=1,z=0$. If $A=\left(x_1,y_1,0\right)$ and $B=\left(x_2,y_2,0\right)$ are respectively the circle points at maximum and minimum distance from $P$, find $\left|\left(x_1+y_1\right)-\left(x_2+y_2\right)\right|$.