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# FP1 argand diagram question (OCR)

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1. I'm a bit confused on how to work out questions that involve using Mod Z plus/minus some values = Mod Z

For example

│Z+3-4i│=│Z│
2. Think of the LHS as the distance between Z and -3+4i. The RHS is the distance between Z and the origin. Therefore, for them to be equal you get a line which is perpendicular to the line that goes through (-3, 4) and the origin. This line should cross the point (-1.5,2).

I think that's right anyhow. Please do correct me if I'm wrong.
3. Firstly u must put it in a form.Always must be Z-(complex other numbers)
|Z| is 0,0 point since it has no "a" and no "bi" value in a+bi complex number.

SO basically the answer is |Z-(-3+4i)|=0
4. (Original post by CrazyFoxes)
Firstly u must put it in a form.Always must be Z-(complex other numbers)
|Z| is 0,0 point since it has no "a" and no "bi" value in a+bi complex number.

SO basically the answer is |Z-(-3+4i)|=0
What does it look like.

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