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- #1

I have already sketched the 2 loci. The problem lies in the following part.

Hence find the least value of |z-2\sqrt{2}-4i|. Find, in exact form, the complex number z_1 represented by the point P that gives this least value.

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- Thread starter
- #1

I have already sketched the 2 loci. The problem lies in the following part.

Hence find the least value of |z-2\sqrt{2}-4i|. Find, in exact form, the complex number z_1 represented by the point P that gives this least value.

- Jan 30, 2012

- 2,528

Over which set of z? The intersection defined in the first part? It seems that you need to find the shortest distance from a point to a semi-disk.Hence find the least value of |z-2\sqrt{2}-4i|.

Why don't you wrap the [tex]...[/tex] tags around your formulas?

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- #3

Yes, how do I then find the complex number [tex]z_1[/tex] in the following part?Over which set of z? The intersection defined in the first part? It seems that you need to find the shortest distance from a point to a semi-disk.

Why don't you wrap the \(z_1\) tags around your formulas?

I tried using the latex but they didnt seem to work

- Jan 30, 2012

- 2,528

See the following picture.Yes, how do I then find the complex number [tex]z_1[/tex] in the following part?

Type [tex]\frac{\pi}{4}\le\arg(z+4)\le\frac{\pi}{2}[/tex] to get [tex]\frac{\pi}{4}\le\arg(z+4)\le\frac{\pi}{2}[/tex].I tried using the latex but they didnt seem to work