COMPLEX NUMBERS

[cashem'up]

hey guys got this tough az question...please help exam in 20 days still havent finished course
A and B are points in an Argand diagram representing the complex numbers 1 and i. P is a point on the circle having AB as a diameter. If P represents the complex number z , find the value of
arg z-1/z-i if P is in

A)the first quadrant
B) the second quadrant
c) fourth quadrant

By the way P2 and P# Pg 248 Q9 just in case if  u have da book

[astarmathsandphysics]

Will answer when net speeds up. Really slow on my pc.

[cashem'up]

sure thanx

[astarmathsandphysics]

Dont know what happened there

[astarmathsandphysics]

this one too

[astarmathsandphysics]

Can you also scan in the question? I want to be sure I understood it.

[Deadly_king]

Can you also scan in the question? I want to be sure I understood it.

Sorry.......i don't have a scanner

But he has written the question likewise. We just need to find arg((z-1)/(z-i)) in the three cases.

In other words : arg(z-1) - arg(z-i)

[astarmathsandphysics]

I thought it was z-1/z-1 but the answer is similar

[Deadly_king]

I thought it was z-1/z-1 but the answer is similar

I just modified my post.

I don't think it's the same.

[astarmathsandphysics]

I see. Much easier question. Will do it when I get home.

[Deadly_king]

I see. Much easier question. Will do it when I get home.

Ok .....thanks pal

The answers from the book are : (a) Half pie     (b) Negative half pie    (c) Negative half pie

[astarmathsandphysics]

Here are my answers.

[cashem'up]

Here are my answers.

hey thanks alot will chek it.... yea i modified it.... m sorry my bad , its z-1/z-i

[Deadly_king]

Here are my answers.

I managed to get the answer for part (a).

I don't mean to be rude Sir, but I still don't understand how you did parts (b) and (c)

Would you mind to elaborate a bit more, please?

[astarmathsandphysics]

The method is basically the same The triangle in the circle is a right angled triangle. I also used z shapes and similar triangles.