If z is any complex number satisfying | z – 3 – 2i | ≤ 2, then the minimum value of | 2z – 6 + 5i

Engineering

Mathematics

Geometry of Complex Number

Question

If z is any complex number satisfying | z – 3 – 2i | ≤ 2, then the minimum value of | 2z – 6 + 5i | is

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So, Min of |2z – 6 + 5i| = PA

$= Min 2 | z - 63 + \frac{5 i}{2} | = 2 \times \frac{5}{2} = 5$