Complex Numbers And Quadratic Equations question 425
Question: If $ \frac{5(-8+6i)}{{{(1+i)}^{2}}}=a+ib $ , then $ (a,b) $ equals [RPET 1986]
Options:
A) (15, 20)
B) (20, 15)
C) $ (-15,20) $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{5(-8+6i)}{{{(1+i)}^{2}}}=a+ib $ Þ $ \frac{-40+30i}{2i}=15+20i=a+ib $ Equating real and imaginary parts, we get $ a=15 $ and $ b=20 $ .
BETA
