find the least possible value of [z+2sqrt3i] <2. Describe in geometrical terms.
sqrt= square root  it is the square root of 3.
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find the least possible value of [z+2sqrt3i] <2. Describe in geometrical terms.
sqrt= square root  it is the square root of 3.
Reformulate this question so that it actualy asks something.Quote:
Originally Posted by kingkaisai2
RonL
Part of this maybe should be: Describe z+2sqrt3i <2 in geometric terms.Quote:
Originally Posted by kingkaisai2
As before this defines the set of all points in the complex plane interior of a circle of radius 2 centred at 2+i.sqrt(3).
RonL
Hello, kingkaisai2!
The problem is badly worded ... it makes no sense.
I'll take a guess at what you meant . . .
Also, in all your problems, unless the inequality is
. . there is no solution.
Are you sure it's "less than"?
Quote:
Find the least possible value of such that
Describe in geometrical terms.
We have: .
This is the set of points within 2 units of
This is the set of points in or on the circle
. . with center and radiusCode:
* * * 
* * 
* * 
* *
_ 
* (2,√3) *
* C* *
* \ *
\ 
* \ *
* o 
**+
* * * O

The point with the least magnitude
. . is the intersection of the circle and the line
The line has the equation: .
The circle has the equation: .
Find their intersections and take the rightmost point.