| Okay, just so you know, that stuff will not show up on the Math II; the only time I've ever seen it is in my IB Math HL class.
The modulus of a +bi = |a + bi| = sqrt (a^2 + b^2) (that's just the way it's defined) And it is the distance from the origin to the point.
In terms of the graphs, the horizontal axis is your real component, while your vertical axis if your imaginary component.
If you have 3 - i and 3 + i, then they...hm, should be reflections across the x-axis I'm thinking...
(3 - i)(3 + i) = 9 - i^2 = 9 - (-1) = 9 + 1 = 10
|3 - i| = (3^2) + (-1)^2 = 9 + 1 = 10
So I would say yes, the product of conjugates is the square of the modulus. | 
College Confidential is dedicated to providing the best free college admissions information available on the Web, through our many articles and this discussion forum. For those of you who wish more personal advising, College Confidential offers private counseling services, conducted via e-mail, with services starting at $89. Counseling is conducted by our Director of Counseling Dave Berry, co-author of America's Elite Colleges and/or with Sally Rubenstone, co-author of Panicked Parents Guide to College Admission, and our other outstanding associates. See College Counseling for more information.
