A) 0
B) \[\sqrt{2}\]
C) 1
D) 2
Correct Answer: A
Solution :
| \[\left| {{Z}_{1}} \right|=9\] |
| \[\left| {{z}_{2}}-(3+4i) \right|=4\] |
| \[{{C}_{1}}(0,0).\] radius \[{{r}_{1}}=9\] |
| \[{{C}_{2}}(3,4),\] radius \[{{r}_{2}}=4\] |
| \[{{C}_{1}}{{C}_{2}}=\left| {{r}_{1}}-{{r}_{2}} \right|=5\] |
| \[\therefore \] Circle touches internally |
| \[\therefore \] \[{{\left| {{Z}_{1}}-{{Z}_{2}} \right|}_{\min }}=0.\] |
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