A) 4
B) 3
C) 2
D) 1
Correct Answer: C
Solution :
\[|{{z}_{1}}|=2,\] a circle of radius 2 and \[(1-i)\,{{z}_{2}}+(1+i)\,{{\overline{z}}_{2}}=8\sqrt{2}\] \[\Rightarrow \] a straight line \[x+y=4\sqrt{2}\] \[\therefore \] AB is minimum along a line y = x \[A=(\sqrt{2},\,\,\sqrt{2}),B\,=(2\sqrt{2},\,\,2\sqrt{2})\] \[\therefore \,\,AB=\sqrt{{{\left( 2\sqrt{2}-\sqrt{2} \right)}^{2}}\,+{{\left( 2\sqrt{2}\,-\sqrt{2} \right)}^{2}}}\] \[=\sqrt{2+2}=\sqrt{4}=2\]You need to login to perform this action.
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