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Question

If |zi|2 and z0=13+5i then the maximum value of |iz+z0| is

A
15
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B
-15
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C
2+194
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D
1942
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Solution

The correct option is A 15
|zi|2
z lies on and in the inner part of the circle |zi|2
z0=13+5i
From the fig:
max(|iz+z0|) will be the distance between point A & point B=[radius of circle (r)] + [distance between point A and center of the circle (d(AC))].
max(|iz+z0|)=max(|ziz0|)=max(|z(5+13i)|)=r+d(AC)
max(|iz+z0|)=2+(0(5))2+(113)2=15
Ans: A
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