Triangle Inequality :Complex Version !

Algebra Level 3

If z 2 + i < = 2 |z-2+i|<=2 then find the difference between the greatest and least value of |z|.


The answer is 4.

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1 solution

Take a circle of radius 2 with centre at (2,-1) and z represents the region inside that circle. Now find greatest and least distance from origin to the circle.

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