Author Topic: COMPLEX NUMBERS  (Read 2088 times)

Offline cashem'up

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COMPLEX NUMBERS
« on: September 26, 2010, 12:15:26 pm »
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
« Last Edit: September 28, 2010, 03:35:38 pm by cashem'up »

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #1 on: September 26, 2010, 12:48:00 pm »
Will answer when net speeds up. Really slow on my pc.

Offline cashem'up

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Re: COMPLEX NUMBERS
« Reply #2 on: September 26, 2010, 02:01:50 pm »
sure thanx

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #3 on: September 27, 2010, 09:47:41 am »
Dont know what happened there


Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #4 on: September 27, 2010, 09:49:07 am »
this one too

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #5 on: September 27, 2010, 09:50:19 am »
Can you also scan in the question? I want to be sure I understood it.

Offline Deadly_king

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Re: COMPLEX NUMBERS
« Reply #6 on: September 27, 2010, 10:23:32 am »
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)
« Last Edit: September 27, 2010, 10:36:51 am by Deadly_king »

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #7 on: September 27, 2010, 10:35:17 am »
I thought it was z-1/z-1 but the answer is similar

Offline Deadly_king

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Re: COMPLEX NUMBERS
« Reply #8 on: September 27, 2010, 10:38:20 am »
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.

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #9 on: September 27, 2010, 10:41:15 am »
I see. Much easier question. Will do it when I get home.

Offline Deadly_king

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Re: COMPLEX NUMBERS
« Reply #10 on: September 27, 2010, 10:44:23 am »
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
« Last Edit: September 27, 2010, 10:57:56 am by Deadly_king »

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #11 on: September 28, 2010, 09:09:43 am »
Here are my answers.

Offline cashem'up

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Re: COMPLEX NUMBERS
« Reply #12 on: September 28, 2010, 03:36:34 pm »
Here are my answers.

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

Offline Deadly_king

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Re: COMPLEX NUMBERS
« Reply #13 on: September 29, 2010, 05:47:22 am »
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?

Offline astarmathsandphysics

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Re: COMPLEX NUMBERS
« Reply #14 on: September 29, 2010, 09:05:37 am »
The method is basically the same The triangle in the circle is a right angled triangle. I also used z shapes and similar triangles.