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Question Number 190199 by 073 last updated on 29/Mar/23

Answered by mr W last updated on 29/Mar/23

min=0 when z=4−3i

min=0whenz=43i

Commented by 073 last updated on 29/Mar/23

but answer is 7  ??

butansweris7??

Commented by mehdee42 last updated on 29/Mar/23

if  ∣z∣=12  then  min(∣z−4+3i∣)=7  but if ∣z∣≤12  then  min(∣z−4+3i∣)=0  because ∣z∣≤12 the set of points inside and on the circle has a radius of 12  and point z_0 =−4+3i is inside this   circle.

ifz∣=12thenmin(z4+3i)=7butifz∣⩽12thenmin(z4+3i)=0becausez∣⩽12thesetofpointsinsideandonthecirclehasaradiusof12andpointz0=4+3iisinsidethiscircle.

Commented by mehdee42 last updated on 29/Mar/23

certainly , 0

certainly,0

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