A) \[(2,-1)\]
B) \[(2,2)\]
C) \[(2,1)\]
D) \[\left( \frac{3}{2},\frac{-3}{2} \right)\]
Correct Answer: C
Solution :
\[|z-(2-\sqrt{3}+i)|+|z-(2+\sqrt{3}+i)|=4\]represents ellipse (as \[(as|{{z}_{1}}-{{z}_{2}}|<4)\] with foci as \[(2-\sqrt{3},1)\And (2+\sqrt{3},1)\]and length of major axis is 4\[\Rightarrow 2ae=2\sqrt{3}\Rightarrow e=\frac{\sqrt{3}}{2}\And b=1\]You need to login to perform this action.
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