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

Calculate the number-average and weight-average molar mass, Three mixtures ...

Three mixtures were prepared with very narrow molar mass distribution polyisoprene samples with molar masses of 8000, 25,000, and 100,000 as indicated below. (a) Equal numbers o

Sets & relation.., the graph of relation y=f(x) respect to x=2 straight lin...

the graph of relation y=f(x) respect to x=2 straight line is symmetrical then which is correct; (option) a) f(x+2)=f(x_2),b)f(2+x)=f(2_x),c)f(x)=f(_x),d)f(x)=_f(_x)

Three dimensional geometry, Three Dimensional geometry Intorduction ...

Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th

Curve tracing, Trace the curve (x/a)^3/2+(y/b)^2/3=1

Trace the curve (x/a)^3/2+(y/b)^2/3=1

Probabillity, In my wallet there is a 10p stamp, a 12p stamp and a 20p stam...

In my wallet there is a 10p stamp, a 12p stamp and a 20p stamp.I remove a stamp,put it back and then remove a stamp again.Draw a sample space diagram to show all the possible resul

What is the median of her scores, Jody's English quiz scores are 56, 93, 72...

Jody's English quiz scores are 56, 93, 72, 89, and 87. What is the median of her scores? To find out the median, first put the numbers in sequence from least to greatest. 56, 7

What is sherman''s pulse rate in beats per minute, Sherman took his pulse f...

Sherman took his pulse for 10 seconds and counted 11 beats. What is Sherman's pulse rate in beats per minute? A 10 second count is 1/6 of a minute. To find out the number of be

Prove - digraph of a partial order has no cycle more than 1, Prove that the...

Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A

Diffrential integral , All the integrals below are understood in the sense ...

All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]

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