Complex Numbers And Quadratic Equations question 313
Question: The equation $ \overline{b}z+b\overline{z}=c, $ where $ b $ is a non-zero complex constant and c is real, represents
Options:
A) A circle
B) A straight line
C) A parabola
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Equation $ \overline{b}z+b\overline{z}=c $ Putting $ z=x+iy,b=b_1+ib_2 $ where $ x,y,b_1,b_2 $ are real, then the given equation become $ (b_1-ib_2)(x+iy)+(b_1+ib_2)(x-iy)=c $ or $ 2b_1x+2b_2y=c $ Which is equation of a straight line. Note: It is a fundamental concept.
BETA
