Complex Numbers And Quadratic Equations question 441
Question: If $ z_1=(4,5) $ and $ z_2=(-3,2) $ then $ \frac{z_1}{z_2} $ equals [RPET 1996]
Options:
A) $ ( \frac{-23}{12},\frac{-2}{13} ) $
B) $ ( \frac{2}{13},\frac{-23}{13} ) $
C) $ ( \frac{-2}{13},\frac{-23}{13} ) $
D) $ ( \frac{-2}{13},\frac{23}{13} ) $
Show Answer
Answer:
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( \frac{23}{13} )=( \frac{-2}{13},\frac{-23}{13} ) $
BETA
