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

Linear equation, The sum of the digit number is 7. If the digits are revers...

The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number

Quartic polynomial, Question: Let f be a quartic polynomial (ie. a poly...

Question: Let f be a quartic polynomial (ie. a polynomial of degree 4). Suppose that f has zeros at -2; 1; 3; 4 and that f(0) = 4. Sketch a graph of f. If f(x) is

Calculus, The law of cosines can only be applied to acute triangles. Is thi...

The law of cosines can only be applied to acute triangles. Is this true or false?

Problem, a mixture of 40 liters of milk and water contains 10% water.how mu...

a mixture of 40 liters of milk and water contains 10% water.how much water should be added to this so that water my be 20% in the new mixture

Modeling - nonhomogeneous systems, Under this section we're going to go bac...

Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of

Indices, what are the advantages and disadvantages of both Laspeyres and Pa...

what are the advantages and disadvantages of both Laspeyres and Paasche index

Quadratic Functions, Can you please explain what Quadratic functions are?

Can you please explain what Quadratic functions are?

Mean and standard deviation , A professor is interested in decisive if atte...

A professor is interested in decisive if attending college influences the level at which an individual cooperates with the police. The professor is not sure  if attending college w

Differentials, Differentials : In this section we will introduce a nota...

Differentials : In this section we will introduce a notation. We will also look at an application of this new notation. Given a function y = f ( x ) we call dy & dx differen

Learn, how to find basic intrest problems

how to find basic intrest problems

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