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Complex numbers loci

On an argand diagram, sketch the locus of points representing complex numbers Z satisfying |z-2-3i|=1
So i drew the circle with centre ( 2,3) radius=1
Calculate the least value of arg z for points on this locus
I dont understand how to do this
Original post by Shas72
On an argand diagram, sketch the locus of points representing complex numbers Z satisfying |z-2-3i|=1
So i drew the circle with centre ( 2,3) radius=1
Calculate the least value of arg z for points on this locus
I dont understand how to do this


Do you know how to find the point on the circle with least value of arg?
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Shas72
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Original post by ghostwalker
Do you know how to find the point on the circle with least value of arg?

Is it by drawing tangents?
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Shas72
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Original post by ghostwalker
Do you know how to find the point on the circle with least value of arg?

By drawing tangents from the origin
Original post by Shas72
By drawing tangents from the origin


Yes. Then it's just a case of a bit of geometry - if you mark on the angle you want and the angles at the origin you can work out, it should become clear.

If stuck, post your working & drawing so I can be certain we're both on the same page.
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Shas72
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Original post by ghostwalker
Yes. Then it's just a case of a bit of geometry - if you mark on the angle you want and the angles at the origin you can work out, it should become clear.

If stuck, post your working & drawing so I can be certain we're both on the same page.

Thanks i understood.

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