MathDB
Problems
Contests
National and Regional Contests
India Contests
ISI B.Math Entrance Exam
2008 ISI B.Math Entrance Exam
3
B.Math 2008-Complex number
B.Math 2008-Complex number
Source:
April 16, 2012
vector
complex numbers
algebra proposed
algebra
Problem Statement
Let
z
z
z
be a complex number such that
z
,
z
2
,
z
3
z,z^2,z^3
z
,
z
2
,
z
3
are all collinear in the complex plane . Show that
z
z
z
is a real number .
Back to Problems
View on AoPS