For any two complex numbers $${{z}_{1}},{{z}_{2}}$$we have $$|{{z}_{1}}+{{z}_{2}}{{|}^{2}}=$$ $$|{{z}_{1}}{{|}^{2}}+|{{z}_{2}}{{|}^{2}}$$ then

Question

TuteeHUB · Accepted Answer

$$\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0$$

TuteeHUB · Answer

$$\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0$$

TuteeHUB · Answer

$$\operatorname{Re}({{z}_{1}}{{z}_{2}})=0$$

TuteeHUB · Answer

$$\operatorname{Im}({{z}_{1}}{{z}_{2}})=0$$

1.	For any two complex numbers \[{{z}_{1}},{{z}_{2}}\]we have \[\|{{z}_{1}}+{{z}_{2}}{{\|}^{2}}=\] \[\|{{z}_{1}}{{\|}^{2}}+\|{{z}_{2}}{{\|}^{2}}\] then
A.	\[\operatorname{Re}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\]
B.	\[\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\]
C.	\[\operatorname{Re}({{z}_{1}}{{z}_{2}})=0\]
D.	\[\operatorname{Im}({{z}_{1}}{{z}_{2}})=0\]
Answer» B. \[\operatorname{Im}\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)=0\]

For any two complex numbers \[{{z}_{1}},{{z}_{2}}\]we have \[|{{z}_{1}}+{{z}_{2}}{{|}^{2}}=\] \[|{{z}_{1}}{{|}^{2}}+|{{z}_{2}}{{|}^{2}}\] then