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

Find the number., There is a number. If the sum of digits is 14, and if 29 ...

There is a number. If the sum of digits is 14, and if 29 is subtracted from the number, the digits become equal. Find the number.

Trigonmetry, [3+tan20+tan80]/tan20+tan80

[3+tan20+tan80]/tan20+tan80

LASPEYRES AND PAASCHE, advantages and disadvantages of laspeyres and paasch...

advantages and disadvantages of laspeyres and paasche

Algebra, Multiple response question.Zack puts a mug of water ni his microwa...

Multiple response question.Zack puts a mug of water ni his microwave oven. He knows that the final temperature of the water will be a function of the number of seconds he heats the

History of Mathematics, What are the key features of Greek Mathematics? How...

What are the key features of Greek Mathematics? How does the emphasis on proof affect the development of Greek Mathematics?

Find out arc length - applications of integrals, Find out the length of y =...

Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g

Solve-|x2-5x+4/x2-4|

x^2-5x+4 can written in roots as (x-1)*(x-4) x^2-4 can be written interms of (x-2)(x+2).so [(x-1)(x-4)/(x-2)(x+2)]

Linear equations, A police academy is training 14 new recruits. Some are wo...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Determine the area of the book jacket, A publishing company is creating a b...

A publishing company is creating a book jacket for a newly published textbook. Determine the area of the book jacket, given that the front cover is 8 in wide by 11 in high, the bin

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