Complex Numbers And Quadratic Equations question 614
Question: The equation of the smallest degree with real coefficients having $ 1+i $ as one of the root is [Kerala (Engg.) 2002]
Options:
A) $ x^{2}+x+1=0 $
B) $ x^{2}-2x+2=0 $
C) $ x^{2}+2x+2=0 $
D) $ x^{2}+2x-2=0 $
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ x=1+i\Leftrightarrow x-1=i $ $ \Leftrightarrow {{(x-1)}^{2}}=i^{2}\Leftrightarrow x^{2}-2x+1=-1 $ $ \Leftrightarrow x^{2}-2x+2=0 $ .
BETA
