Prove the equation of a line and a circle in complex plane has a general form of :
where
Hence, or otherwise, prove
If are complex numbers
which satisfies below condition:
then they are locus of circles in complex plane.
Last edited by Mahan1; 26 Feb 2017 at 7:54 PM.
Mahan Ghobadi
Maths Tutor- ESL (80)| 2 Unit maths (96)(2013) | 3 Unit maths (99)| 4 Unit maths(95)| Physics (88)| music1(93)
Get more answers for your questions, as well as weekly tips and blog posts, from my friends and I at:
HSC http://bit.ly/HSC-Help
VCE* http://bit.ly/VCE-Help
That proves the above equation is a general form of a circle, but the question says that it also is the form of a line in the complex plane.
To just add on to your proof:
1.prove the equation below represents a line in complex plane:
the equation of the line in general is :
in complex plane, that translates into:
where
multiply by i:
for
we get
Last edited by Mahan1; 26 Feb 2017 at 8:07 PM.
Mahan Ghobadi
Maths Tutor- ESL (80)| 2 Unit maths (96)(2013) | 3 Unit maths (99)| 4 Unit maths(95)| Physics (88)| music1(93)
Get more answers for your questions, as well as weekly tips and blog posts, from my friends and I at:
HSC http://bit.ly/HSC-Help
VCE* http://bit.ly/VCE-Help
There are currently 1 users browsing this thread. (0 members and 1 guests)
Bookmarks