complex numbers

For all complex numbers z1 and z2 satisfying mod(z1)=12 and mod(z2-3-4i)=5 , find the minimum value of mod(z1-z2) .

2 Answers

this one is simple

first is a circle at the origin with readius of 12

while the second is a circle at (3,4) with radius 5

These are circles inside each other..

geometrically can you find the shortest distance?

Thank you very much bhaiya !!!

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