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

Simultaneous equations, i need a step by step guide to answering simultaneo...

i need a step by step guide to answering simultaneous equation for gcses

Relative measures of dispersion, Relative measures of dispersion Defi...

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

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

Developing estimation skills in maths, DEVELOPING ESTIMATION SKILLS :  A s...

DEVELOPING ESTIMATION SKILLS :  A study was done with some Class 3 and Class 4 children of five village schools to gauge how well they had understood the standard algorithms. The

Ratio , 5:9 and 3:5 then find a:b:c

5:9 and 3:5 then find a:b:c?

Which of the following binomials could represent the length, The area of Mr...

The area of Mr. Smith's rectangular classroom is x 2 - 25. Which of the following binomials could represent the length and the width of the room? Since area of a rectangle is

1, what''s the beneit of study mathematics ?

what''s the beneit of study mathematics ?

Find out the probability, a)  A husband and wife appear in an interview for...

a)  A husband and wife appear in an interview for two vacancies in the same post.  The probability of husband's selection is 1/7 and that of wife's selection is 1/5.  What is th

How many inches long is the bedroom, Raul's bedroom is 4 yards long. How ma...

Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.

How to calculate arithmetic average or mean, Q. How to calculate arithmetic...

Q. How to calculate arithmetic average or mean? Ans. When people collect information, or data, they can easily be overwhelmed with information. Just imagine listing the b

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