57 546
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Complex Analysis Question for Waqas

Question #2831
Find the locus of points in the plane satisfying each of the given conditions:
<br>(i) |z-5| = 6 <br> (ii) |z-2i| >=1 <br> (iii) Re(z+2) = -1
<br>(iv) Re{i(conjugate of z)} =3 <br>(v) |z+i| = |z-i|
<br>Also Sketch its diagram.
Please tell me as soon as possible...?
Expert's answer
(i) |z-5| = 6
This is a circle of radius 6 with center at 5

(ii) |z-2i| >=1
This is a outer part of a circle of radius 1 with center at 2i together with this circle

(iii) Re(z+2) = -1
This is a vertical line x+2=-1, that is x=3.

(iv) Re{i(conjugate of z)} =3
Let z=x+iy, then
i(conjugate of z) = ix-y,
3 = Re{i(conjugate of z)} =
= Re{-y+ix}= -y
Thus we obtain a horizontal line y=-3.

(v) |z+i| = |z-i|
or any r the set
& |z+i|=r and |z-i|=r
Are two circles of radius r centered at -i and I respectively.
Then |z+i| = |z-i| is the set of all points equidistant to i and –i
This is a real axis y=0.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question