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CGP EDU Academic Team
Published on: August 13, 2026
The minimum value of the expression |3z -3| + |2z - 4| is equal to (where, z is a complex number)
Text Solution
Verified by ExpertsThe correct answer is:
A
Given expression is,
3|z - 1| + 2 |z - 2|
= |z - l + 2(|z -1| + |z - 2|)
Now, minimum |z - l| + |z + 2 | is equal to 1
when z lies on the line segment joining 1 & 2
and minimum |z— 1| is equals to 0, when z = 1
Minimum of |z - 1| + 2 (|z - 1| + |z - 2|) is equal to 0 + 2 (1) = 2 at z = 1
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