A) \[\left( \frac{-23}{12},\frac{-2}{13} \right)\]
B) \[\left( \frac{2}{13},\frac{-23}{13} \right)\]
C) \[\left( \frac{-2}{13},\frac{-23}{13} \right)\]
D) \[\left( \frac{-2}{13},\frac{23}{13} \right)\]
Correct Answer: C
Solution :
\[\frac{{{z}_{1}}}{{{z}_{2}}}=\frac{4+5i}{-3+2i}\times \frac{-3-2i}{-3-2i}\]\[=\frac{-12-8i-15i+10}{9-{{(2i)}^{2}}}\] \[\frac{{{z}_{1}}}{{{z}_{2}}}=\frac{-2}{13}-i\left( \frac{23}{13} \right)=\left( \frac{-2}{13},\frac{-23}{13} \right)\]You need to login to perform this action.
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