Question

Min value of Modulus of z when arg (z+4) = Pi/3

Answer 1

the modulus of z is the "length" of z
we assume z is a complex number with real and imaginary components.

arg(z+4) is the angle of the complex number z+4. if z+4 = a + bi its arg (i.e. angle measured from the real (x) axis) is atan(b/a)