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

JEE Advanced 2011 Mathematics question

If z is any complex number satisfying , then the minimum value of is

Answer: 5

The condition describes the closed disc with centre and radius 2. Also , i.e. twice the distance of z from the point . Distance $CA = 2 -

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Question ID VK-025941