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

I need help with my calculus


Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d


The perimeter of a square can be expressed as x + 4. If one side of the square is 24, what is the value of x? Since the perimeter of the square is x + 4, and a square has four

Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1.  θ = β We are able to see that this is a line by converting to Car

Launching a new product (Blackberry Cube) Analysis (target market) Product features Promotions and advertisement sample design (location)

Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.