If the circles (x+1)^2+(y+2)^2=r^2 and x^2+y^2-4 x-4 y+4=0 intersect at exactly two distin…

Question

If the circles $(x+1)^2+(y+2)^2=r^2$ and $x^2+y^2-4 x-4 y+4=0$ intersect at exactly two distinct points, then

Accepted Answer

If two circles intersect at two distinct points

$$\begin{aligned}
& \Rightarrow\left|\mathrm{r}_1-\mathrm{r}_2\right|5 \
& -53 ~\text{......... 2}
\end{aligned}$$

Solutions · 1