A) \[(0,7)\]
B) \[(1,8)\]
C) \[\left[ 1,9 \right]\]
D) \[\left[ 2,5 \right]\]
Correct Answer: C
Solution :
\[\because \left| z-1 \right|+\left| z+3 \right|\le 8\] \[\therefore \]z lies inside or on the ellipse whose foci are (1,0) and (-3,0) and vertices are (-5,0) and (3,0) clearly the minimum and maximum values of \[\left| z-4 \right|\]are 1and 9respectively, representing the distance \[PA\]and \[PA\]?thus \[1\le \left| z-4 \right|\le 9\]\
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