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

One of these food groups, In a collection of 30 dissimilar birds, 15 eat wo...

In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each

Two tailed tests, Two Tailed Tests A two tailed test is generally used ...

Two Tailed Tests A two tailed test is generally used in statistical work as tests of significance for illustration, if a complaint lodged by the client is about a product not m

What is the area of the square in simplified form, If the side of a square ...

If the side of a square can be expressed as a2b 3 , what is the area of the square in simplified form? Since the formula for the area of a square is A = s 2 , then by substitut

Decision trees and sub sequential decisions, Decision Trees And Sub Sequent...

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

Related rates of differentiation., Related Rates : In this section we wil...

Related Rates : In this section we will discussed for application of implicit differentiation.  For these related rates problems usually it's best to just see some problems an

Fermats theorem, Fermat's Theorem  If f(x) has a relative extrema at x...

Fermat's Theorem  If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.

Which of the subsequent binomials could represent the length, The area of a...

The area of a rectangle is represented through the trinomial: x 2 + x - 12. Which of the subsequent binomials could represent the length and width? Because the formula for the

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