Complex Numbers And Quadratic Equations question 45
Question: The values of $ x $ and $ y $ for which the numbers $ 3+ix^{2}y $ and $ x^{2}+y+4i $ are conjugate complex can be
Options:
A) $ (-2,-1) $ or $ (2,-1) $
B) $ (-1,2) $ or $ (-2,1) $
C) $ (1,2) $ or $ (-1,-2) $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
According to condition, $ 3-ix^{2}y=x^{2}+y+4i $
Þ $ x^{2}+y=3 $ and $ x^{2}y=-4 $
Þ $ x=\pm 2,y=-1 $
Þ $ (x,y)=(2,-1) $ or $ (-2,-1) $
BETA
