Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 6
College of Education for Pure Sciences
Physics Department
Three Stage
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
The distance between two points
in complex plan is
and
given by
The complex numbers that satisfy the equation
where
consist of all the points fall on the circle with center at the origin and
radius
The complex numbers that satisfy the equation
where
consist the points fall on the circle with center at the points
and radius
The complex numbers that satisfy the inequality
where
consist the points fall on and interior to the circle with center
at the point and radius
Ex:- Graph the set of points that satisfy the equation
i.
ii.
iii.
iv.
H.W
SOL:-
1
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 6
College of Education for Pure Sciences
Physics Department
Three Stage
Ali Hussein Mahmood Al-Obaidi
i.
From
center
ii.
Since
Thus
So that
Thus the set of points is
Since
Thus
So that the set of points is
ali.alobaidi81@yahoo.com
we find that the set of point is circle with
and radius
iii.
by square two sides .
So that the set of points is
that is real axis .
2