complex number z, Mathematics

For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..?

Solution) |z| + |z-(e^ia)| + |z-2(e^ia)|

we see.....oigin , e^ia , 2e^ia ,  forms a straight line.

and for minimum value..... z must coincide with e^ia

hence the equation becomes:

=|e^ia| + 0 + |-e^ia|

=1 + 0 + 1

=2(ANS)

Posted Date: 3/23/2013 12:44:01 AM | Location : United States







Related Discussions:- complex number z, Assignment Help, Ask Question on complex number z, Get Answer, Expert's Help, complex number z Discussions

Write discussion on complex number z
Your posts are moderated
Related Questions
Approximating Definite Integrals - Integration Techniques In this section we have spent quite a bit of time on computing the values of integrals. Though, not all integrals can

find the series of the first twenty terms


WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA

Find out if the following sets of functions are linearly dependent or independent.  (a) f (  x ) = 9 cos ( 2 x )    g (  x ) = 2 cos2 (  x ) -  2 sin 2 (  x ) (b) f

please suggest me that how can i get the term papers topics?

what is market orientation? what is the importance of market orientation?what are its implementation?

explain the formular for finding trigonometry

You are given the following regression results estimating the demand for widgets based on time series data for the past 40 months. Q t = 2.5 - 0.3 x P t + 12 x M t Where Q

what is actual error and how do you find percentage error