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

Evaluate following. 0ln (1+)excos(1-ex)dx substitution, Evaluate following....

Evaluate following. ∫ 0 ln (1 + π )   e x cos(1-e x )dx Solution The limits are little unusual in this case, however that will happen sometimes therefore don't get

The cost of renting a bike at the local bike is y = 2x + 2, The cost of re...

The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi

Find solution manual, i need solution manual of "calculus and analytic geom...

i need solution manual of "calculus and analytic geometry thomas 6th edition book "

Calculate the volume and surface area of a cube, Calculate the volume and s...

Calculate the volume and surface area of a cube: Calculate the volume and surface area of a cube with a = 3".  Be sure to involved units in your answer. Solution: V =

., round 64 to the nearest 10

round 64 to the nearest 10

Naming fractions greater than 1, the 10 miles assigned to the chess club st...

the 10 miles assigned to the chess club start at the 10 mile point and go to the 20 mile point when the chess club members have cleaned 5/8 of their 10 mile section between which m

We know this equation a°=1.prove this?, we know that log1 to any base =0 ta...

we know that log1 to any base =0 take antilog threfore a 0 =1

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