The curve $(x-1)^2+(y-3)^2 =5$ intersects the line $y-3x=5$ at two points. Find the coordinates

Question

The curve $(x-1)^2+(y-3)^2 =5$ intersects the line $y-3x=5$ at two points. Find the coordinates of these two points.[5]

Accepted Answer

coordinates : $(0,5)$ and $ (-1,2) $

2025 MSHS PRELIMS P1 Q1