(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The curve on the Argand diagram for which

[tex]|z-2|+|z-4|=10[/tex]

is an ellipse. Find the co-ordinates of its centre and the lengths of its major and minor axes.

2. Relevant equations

[tex]z=x+iy[/tex]

3. The attempt at a solution

I could only find the centre by using common sense in a way: ([itex]\frac{2+4}{2}[/itex],0) = (3,0)

No idea how to answer the second part though.

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# Complex Numbers ~ Locus

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