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

Using calculus method, Sheldon as the day for the challenge gets closer wan...

Sheldon as the day for the challenge gets closer wants to enter the race. Not being content with an equal start, he wants to handicap himself by giving the other yachts a head star

Example of addition of fractions, Example of addition of Fractions: 10...

Example of addition of Fractions: 105/64 + 15/32 + 1/6 =____ would require the denominator to be equal to 64 x 32 x 6 = 12,288. This type of number is very hard to use.

Index numbers, advantages and disadvantages of index numbers

advantages and disadvantages of index numbers

Which of the following sets are equal, Which of the following sets are equa...

Which of the following sets are equal? S 1 = {1, 2, 2, 3}, S 2 = {x | x 2 - 2x + 1 = 0}, S 3 = {1, 2, 3}, S 4 = {x | x 3 - 6x

Volume of grains in the silo , The volume of grains in a silo at a particul...

The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ

Find out the value of the subsequent summation, Using the formulas and prop...

Using the formulas and properties from above find out the value of the subsequent summation. c The first thing that we require to do here is square out the stuff being summe

Which state sold corsica to france in 1768, By which of those ancient civil...

By which of those ancient civilizations was Machu Pichu built? The Aztecs The Egyptians The Mayas The Incas Which state sold Corsica to France in 1768? - Not answered Genoa Veni

What is unitary method, Explanation of  Unitary Method Unitary Method k...

Explanation of  Unitary Method Unitary Method keeps of following two steps:-      Step 1 involves find the value of one unit.      Step 2 involves find the value of requi

Multiplication rule: dependent events, Multiplication Rule: Dependent Event...

Multiplication Rule: Dependent Events The joint probability of two events A and B which are dependent is equal to the probability of A multiplied by the probability of B given

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