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

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

One integer is two more than another what is greater integer, One integer i...

One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int

SHARES AND DIVIDEND, i am a student of class 10 and need help for making my...

i am a student of class 10 and need help for making my project on shares and dividend

Comperative statics, Discuss comparative statics,Market model and Nationa i...

Discuss comparative statics,Market model and Nationa income model

Algebra, sir i want to ask u a question and that is if we simplify this wha...

sir i want to ask u a question and that is if we simplify this what will be the answer.(9x-45z+6y-100z+5x)

State demorgans law and prove it using the truth table, State DeMorgan's la...

State DeMorgan's law. Prove it using the truth table.   Ans: DeMorgan's law defines that    (i)  (x ∨ y)' = x' ∧ y' (ii)  (x ∧ y)' = x' ∨ y'      Now let us dr

Adding fractions, please give the answer 1/9+1/3 with working out

please give the answer 1/9+1/3 with working out

Product moment coefficient, Product Moment Coefficient This gives an i...

Product Moment Coefficient This gives an indication of the strength of the linear relationship among two variables. Note that this formula can be rearranged to have di

Two circles touching internally prove that ox:oy=oa:ob, Two circles touchin...

Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a

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