A) \[\sqrt{2}\]
B) 2
C) 0
D) 1
Correct Answer: C
Solution :
Given, \[|{{z}_{1}}|=9,\]represents a circle with centre \[{{C}_{1}}(0,0)\] and radius \[{{r}_{1}}=9\]. Also, \[|{{z}_{2}}-(3+4i)|=4\]represents a circle with centre \[{{C}_{2}}(3,4)\]and radius \[{{r}_{2}}=4.\] \[\therefore \]\[{{C}_{1}}{{C}_{2}}=|{{r}_{1}}-{{r}_{2}}|=5\] So, circles touches each other internally. \[\therefore \] \[|{{z}_{1}}-{{z}_{2}}{{|}_{\min }}=0\]
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