Complex Number: Locus (1 Viewer)

[Hello_World2]

For question 13 the locus is a circle, but I don't know how to find the range of |z| from the graph and get the answer.
Help is greatly appreciated !!!

Here's the answer for q13

 

[cossine]

View attachment 36532
For question 13 the locus is a circle, but I don't know how to find the range of |z| from the graph and get the answer.
Help is greatly appreciated !!!

Here's the answer for q13

So you think of |some_expression| as being the distance. Another more formal way is the euclidean norm.

Basically 4 is the radius centre -2+3i. Using that you can find the range.

 

[okkk]

The way you do this is you find the distance from the centre to the origin then you add the radius to get the max modulus and subtract the radius to get the min modulus

 

[Hello_World2]

Ohhh, I see bruh I'm so dumb to not have figured this out. Thanks for the help!!