Find the minimum value of expression |z|^2 + |z-3|^2 + |z-6i|^2
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let, f(z)=|z|²+|z-3|1+|z-6i|²
=>f(z)=|z|²+|z-3|²+z²-36
=>f(z)= z² + z² +9 -6z +z² -36
=>f(z)= 3z²-6z -27
now,
f`(z)= 6z -6
f``(z) = 6;
so,
The lowest value of f(z) is -30.
=>f(z)=|z|²+|z-3|²+z²-36
=>f(z)= z² + z² +9 -6z +z² -36
=>f(z)= 3z²-6z -27
now,
f`(z)= 6z -6
f``(z) = 6;
so,
The lowest value of f(z) is -30.
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