complex number z, Mathematics

Assignment Help:

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)


Related Discussions:- complex number z

Simplex table, maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

Operation of fraction, what are the formula in the operation of fraction an...

what are the formula in the operation of fraction and how will i apply the operation of fraction on word problems

Siquence aned series, if 4,a and 16 are in the geometric sequence. Find the...

if 4,a and 16 are in the geometric sequence. Find the value

Define markov process, Define Markov process. Markov process is one in...

Define Markov process. Markov process is one in which the future value is independent of the past values, given the current value

Disjointed sets or mutually exclusive, Disjointed Sets or Mutually Exclusiv...

Disjointed Sets or Mutually Exclusive Two sets are said to be mutually or disjointed exclusive whether they have no elements in common. Sets P and R underneath are disjointed

Lim.., how can solve limits

how can solve limits

Explain simple classification and chance and probability, E1) From your exp...

E1) From your experience, and what you have studied so far, by which age would-you expect an average child to be ready to acquire the following concepts? i) Simple classificatio

Example of intersection, Can anybody provide me the solution of the followi...

Can anybody provide me the solution of the following example? You are specified the universal set as T = {1, 2, 3, 4, 5, 6, 7, 8} And the given subjects of the universal s

Define regression, Define regression. The main reason of curve fitting ...

Define regression. The main reason of curve fitting is to estimate one of the variables (the dependent variable) from the other (the independent variable). The procedure of est

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd