For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, the minimum value of |z1-z2|is
4
3
1
2
Finding the minimum value of :
Given, |z1|=12& |z2-3-4i|=5
Now, we know that z1-z2=z1-z2
Applying this rule,
|z2-3-4i|=5z2--3-4i=5z2-32+42=5z2-5=5z2=10
Now,
z1-z2=z1-z2=12-10z1-z2=2
Hence, correct option is (D)