A) \[\sqrt{{{(x-5)}^{2}}+{{y}^{2}}}\]
B) \[{{x}^{2}}+\sqrt{{{(y-5)}^{2}}}\]
C) \[\sqrt{{{(x-y)}^{2}}+{{5}^{2}}}\]
D) \[\sqrt{{{x}^{2}}+{{(y-5)}^{2}}}\]
Correct Answer: A
Solution :
\[z=x+iy\], then \[|z-5|\,=\,|x+iy-5|\,=\,|x-5+iy|\] \[=\sqrt{{{(x-5)}^{2}}+{{y}^{2}}}\].
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