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

Three whole divisions, In the National Hockey championship, there are 30 in...

In the National Hockey championship, there are 30 independent ice hockey teams. Every of the teams will play 82 official NHL games every year. Many teams will have to travel from t

Determine the derivative f ( x ) = 2 x2 -16x + 35, Determine the derivative...

Determine the derivative of the following function by using the definition of the derivative. f ( x ) = 2 x 2 -16x + 35 Solution Thus, all we actually have to do is to pl

A single student is selected at random, The scores of students taking the A...

The scores of students taking the ACT college entrance examination are normally distributed with a mean µ = 20.1 and a standard deviation σ = 5.8. a)    A single student is sele

Find coordinates, I need the coordinates for this equation Y=1/2-4

I need the coordinates for this equation Y=1/2-4

Conscious consumer, I am comparing building a house and buying a house. whi...

I am comparing building a house and buying a house. which one of the option you would choose.

Fraction, Maria has a slice of pizza that is1/6 the pizza. Ben has a slice ...

Maria has a slice of pizza that is1/6 the pizza. Ben has a slice of pizza that is 1/3 of the pizza . Maria''s slice is bigger .draw pizzas to show how this possible .

Integration, why we study integration..?? uses

why we study integration..?? uses

Analysis, Ask question #Minimum 1Let X be a topological space, let p ? X, a...

Ask question #Minimum 1Let X be a topological space, let p ? X, and let F and ? be C-valued functions on X that are continuous at p. Then the functions F + ?, F?, |F|, ReF and ImF

Question, Hi I have a maths question related to construction as its a cons...

Hi I have a maths question related to construction as its a construction management course...i could send some example sheets too...could it be done?

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