Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
. If 
is the point in S which is closest to 4i then 
is equal to_____.
Text Solution
Verified by ExpertsThe correct answer is:
80
(80)
represent pt. i/s circle of radius 1 & centered at (3, 0)
z (4 + 3i) + 
(4 - 3i) < 24
(x + iy) (4 + 3i) + (x - iy) (4 - 3i) 
24
4x + 3xi + 4iy - 3y + 4x - 3ix - 4iy - 3y 
24
8x - 6y 
24
4x-3y 
12
minimum of (0,4) from circle = 
-1 = 4
will lie along line joining (0, 4) & (3, 0)
equation line
..(i)
equation circle (x - 3) 2 + y 2 = 1 ... (ii)
for minimum distance 
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