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

Vectors, |a.x|=1 where x = i-2j+2k then calculate a

|a.x|=1 where x = i-2j+2k then calculate a

Find the probability of drawing a diamond card, Find the probability of dra...

Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw

Concurrent deviation method, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Constants of integration, CONSTANTS OF INTEGRATION Under this section w...

CONSTANTS OF INTEGRATION Under this section we require to address a couple of sections about the constant of integration. During most calculus class we play pretty quick and lo

Tangents, case 2:when center is not known proof

case 2:when center is not known proof

Operation research, advantages of vogel''s approximation method over north ...

advantages of vogel''s approximation method over north west corner method

What are logarithmic function, The logarithm of a provided number b to the ...

The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a

Differential equation, Suppose a fluid (say, water) occupies a domain D? R^...

Suppose a fluid (say, water) occupies a domain D? R^(3 ) and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid

Theory of quadratic equations.., solve the following simultaneous equations...

solve the following simultaneous equations x+y=a+b ; a/x_b/y

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