Question

If |zi|2 and z1 = 5 + 3i, (wherei=1), then the maximum value of |iz+z1| is:

Answer 1

considering the ans geometrically in the complex plane,a number with magnitude less than or equal to 2will reside on or in a circle of radius 2 centered at the origin If z-i meets this condition, then z is on or in a circle of radius 2 centered at 0+i .Then iz will be values in a circle of radius 2 centered at -1+0i and adding z1 will move the circle to one centered at 4+3i. the distance of this point to the origin is 5,so the maximum distance for the origin of any point on a circle of radius 2will be 2+5=7.

Answer 2

Answer:

Step-by-step explanation:

considering the ans geometrically in the complex plane,a number with magnitude less than or equal to 2will reside on or in a circle of radius 2 centered at the origin If z-i meets this condition, then z is on or in a circle of radius 2 centered at 0+i .Then iz will be values in a circle of radius 2 centered at -1+0i and adding z1 will move the circle to one centered at 4+3i. the distance of this point to the origin is 5,so the maximum distance for the origin of any point on a circle of radius 2will be 2+5=7.