How to sketch this graph

[1i1ii1i]

How do you sketch {z: |z+2i|=2|z-i|}

[b^3]

Let


So we are looking at a circle with center (0,2) and a radius of


Hope there aren't any mistakes and I hope that helps

[1i1ii1i]

OMG THAT helps so much thank you@@ ^^ LOL i got up to the part 0=3x^2+3y^2-12y but i forgot to complete the square haha

[Mr. Study]

Hey,

Probably a stupid question but where exactly did the go?

I constantly keep thinking it will be -1 but when I do that, it destroys my answers. Hence, when I've been doing these questions, I just blindly let the i 'disappear' without much thought into it.

Thanks

[b^3]

Hey,

Probably a stupid question but where exactly did the go?

I constantly keep thinking it will be -1 but when I do that, it destroys my answers. Hence, when I've been doing these questions, I just blindly let the i 'disappear' without much thought into it.

Thanks

I remember wondering the same thing early last year too
Anyway, what we are doing is evaluating the modulus by squaring the coefficients of the real and imaginary parts, adding them and then rooting them, i.e. . i is not a coefficient, look at the argand diagram and it's basically using pythagoras' rule as we just want the "distance from the origin to the point". There is a diagram in the info for 4C in the essentials book regarding what I'm talking about above.  Hope that helps

[Mr. Study]

Ah! I see I see!

Thanks for that and the 4C reference.

EDIT: I just realised even more what you meant. :O. My brain had a 'light bulb turn on' moment! Thanks again.