Hi Guys, Any help with this greatly appreciated:

Attachment 3895

Note: Equation for part (ii) is "every line or circle has an equation of the form

a(x^2+y^2)+bx+cy+d=0, where a,b,c,d are subset R and b^2+c^2>4ad

Thank you

The Moolimuncha

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- Aug 27th 2007, 05:58 AMmoolimanjConformal Mappings - Mobius Transformations
Hi Guys, Any help with this greatly appreciated:

Attachment 3895

Note: Equation for part (ii) is "every line or circle has an equation of the form

a(x^2+y^2)+bx+cy+d=0, where a,b,c,d are subset R and b^2+c^2>4ad

Thank you

The Moolimuncha - Aug 27th 2007, 10:29 AMRebesques
...The Moolimuncha? :p:D:eek:

Anyway... f maps the circle C into either a circle or a line. One simple way to do this, is to find three points on C and their respective values through f. If these values are collinear, then f(C) is this line; If not, f(C) is a circle, whose equation can be found from those three points. :o - Sep 3rd 2007, 06:52 AMmoolimanj
Thanks Rebesques

But I'm still confused. Can you expand please?

Cheers

Moolimuncha