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

#Famous Numbers Exercise, Euler''s Constant (e) Approximate the number to t...

Euler''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

Npv, how to calculate the npv

how to calculate the npv

The mean value theorem, The Mean Value Theorem : In this section we will ...

The Mean Value Theorem : In this section we will discuss the Mean Value Theorem.  Before we going through the Mean Value Theorem we have to cover the following theorem. Ro

Numerical integration - simpson rule, (1)Derive, algebraically, the 2nd ord...

(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f 0 ,f 1 ,f 2 with an increment of h. (2) Using software such

Geometry, if two circles O and O''intersect in two points, A and B, the the...

if two circles O and O''intersect in two points, A and B, the the line segment OO is what?

Profit maximization, a medical clinic performs three types of medical tests...

a medical clinic performs three types of medical tests that use the same machines. Tests A, B,and C take 15 minutes, 30 minutes and 1 hours respectively, with respective profits of

Pigeonhole principle, By pigeonhole principle, show that if any five number...

By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9.    Answer: Let make four groups of two numbers from 1 to 8 like

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