Let a circle C of radius 1 and closer to the origin be such that the lines passing through…

Question

Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point $(3,2)$ and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point $(5,5)$ is :

Accepted Answer

Shortest distance of circle $C$ form $(5,5)$

$$\begin{aligned}
& =\sqrt{9+16}-1 \
& =5-1=4
\end{aligned}$$

Solutions · 1