tmua 2018 Q3

tmua · Uk · paper1 1 marks Circles Circles Tangent to Each Other or to Axes
Find the shortest distance between the two circles with equations:
$$\begin{aligned} & ( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 18 \\ & ( x - 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2 \end{aligned}$$
A 0
B 4
C 16
D $2 \sqrt { 2 }$
E $5 \sqrt { 2 }$
..... 5
Find the shortest distance between the two circles with equations:

$$\begin{aligned}
& ( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 18 \\
& ( x - 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2
\end{aligned}$$

A 0

B 4

C 16

D $2 \sqrt { 2 }$

E $5 \sqrt { 2 }$