Mathematics - Circle Question with Solution | TestHub

Let $A(1,2),B(3,4)$ be two points and $C(x,y)$ be a point such that area of $△ABC$ is 3 sq.units and $(\mathrm{x}-1)(\mathrm{x}-3)+(\mathrm{y}-2)(\mathrm{y}-4)=0$. Then maximum number of positions of C, in the xy plane is