how to approach this q (1 Viewer)

[amdspotter]

would u simplify this to arg(z-1)-arg(z+1) and then try solve?

 

[ExtremelyBoredUser]

View attachment 34428
would u simplify this to arg(z-1)-arg(z+1) and then try solve?

Start from Point 1 + 0i and go anticlockwise to point -1 + 0i.

u can def make it look better but smthn like this, make sure you put a closed circle on 1 and -1 since its undefined at this point. The diagram
looks rough since its on paint but its just to get the jist of it.

 

[CM_Tutor]

This type of problem should be solved with circle geometry as the algebra is difficult because it can be easy to miss the inclusion / exclusion criteria.

I know the circle geometry is no longer in the syllabus... learn it anyway.

 

[ExtremelyBoredUser]

This type of problem should be solved with circle geometry as the algebra is difficult because it can be easy to miss the inclusion / exclusion criteria.

I know the circle geometry is no longer in the syllabus... learn it anyway.

From the ext 1 syllabus;


I presume in Year 10 Circle Geo they cover this? So perhaps its assumed knowledge for these topics. No idea since our class didn't get up to it. Only reference to circle geo I can find though.

 

[5uckerberg]

This is what it looks like

 

[CM_Tutor]

It is the circle but only for the part above the real axis