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# FP2 loci sketching Watch

1. Hi,

If we have arg(z/z+3) = pi/4 then we draw a circe above the x axis from 0 to -3

however, for arg (z-3i/z-5) it is below the axis.

How do you find out whether to draw above or below?

Thanks
2. Go from top to bottom, anticlockwise IRC. I.e go from coord at the top of the fraction to the coord on the bottom, anticlockwise.
3. (Original post by bananarama2)
Go from top to bottom, anticlockwise IRC. I.e go from coord at the top of the fraction to the coord on the bottom, anticlockwise.
But why?
4. (Original post by David_Skiller)
But why?
Takes a bit of practice, if we draw , then . So by this, we know that must be greater than and in some cases must go below the axis for to be greater than

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5. (Original post by David_Skiller)
But why?
I don't know :/ I hate loci that much I just didn't want to know
6. (Original post by David_Skiller)
But why?
(Original post by bananarama2)
I don't know :/ I hate loci that much I just didn't want to know

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