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

Bayes’ theorem, Bayes’ Theorem In its general form, Bayes' theorem deal...

Bayes’ Theorem In its general form, Bayes' theorem deals with specific events, such as A 1 , A 2 ,...., A k , that have prior probabilities. These events are mutually exclusive

Integers, hi i would like to ask you what is the answer for [-9]=[=5] grade...

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

7th grade math, it cost $520 to plant 4 acres of corn. how much would it co...

it cost $520 to plant 4 acres of corn. how much would it cost to plant 3/5 acre of corn

Upper limit of normal , Frequently, tests that yield abnormal results are r...

Frequently, tests that yield abnormal results are repeated for confirmation.  What is the probability that for a usual person a test will be at least 1.5 times as high as the upper

Order to solve mathematical operations, Order to solve Mathematical Operati...

Order to solve Mathematical Operations: Example: Solve the following equation: (4 - 2) + (3 x 4) - (10 ÷ 5) - 6 =  ____________ Solution: a.         Perform ma

Funtions, find the no of solution of 2*3*4*5*6*6

find the no of solution of 2*3*4*5*6*6

How many permutations of the letters a b c d e f g h, How many permutations...

How many permutations of the letters A B C D E F G H consist of string DEF?    Ans: It is the dilemma of finding number of words that can be formed along with the given 8 lette

Example of division , Example of division: Divide 738 by 83. Soluti...

Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying

Show that the height of the aero plane, From  an  aero  plane  vertically  ...

From  an  aero  plane  vertically  above  a  straight  horizontal  road,  the  angles  of depression of two consecutive milestones on opposite sides of the aero plane are observed

Decision trees and sub sequential decisions, Decision Trees And Sub Sequent...

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

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