Thread: [SOLVED] Graph of a line in the Argand plane

I am having a mental block about this.

Given the equation

and the condition A = 0 and D is a real constant and E is a complex constant, show that this equation represents a line in the complex plane. (The additional complexity is due to the second part of the problem: Given , A and D real constants, E a complex constant, and this is supposed to represent a circle.)

So using the condition I've got:


Thus


This is supposed to be the equation of a line. But since D and E are constants, I would say that z is representing merely a point? What have I got wrong this time??

-Dan

Originally Posted by topsquark

I am having a mental block about this.

Given the equation

and the condition A = 0 and D is a real constant and E is a complex constant, show that this equation represents a line in the complex plane. (The additional complexity is due to the second part of the problem: Given , A and D real constants, E a complex constant, and this is supposed to represent a circle.)

So using the condition I've got:


Thus


This is supposed to be the equation of a line. But since D and E are constants, I would say that z is representing merely a point? What have I got wrong this time??

-Dan

Hi there topsquark.

Little wonder you're head banging. The question is flawed. The equation should be:

Originally Posted by mr fantastic

Hi there topsquark.

Little wonder you're head banging. The question is flawed. The equation should be:

Ahhhh! The light just went on. (So what if it's that little penguin that turns on the refrigerator light? I haven't had breakfast yet!)

Thank you.

-Dan

Originally Posted by topsquark

Ahhhh! The light just went on. (So what if it's that little penguin that turns on the refrigerator light? I haven't had breakfast yet!)

Thank you.

-Dan

Ha ha. You're welcome.

By the way, nostalgia ain't what it used to be