contestada

Which complex number has a distance of the square root of 17 from the origin on the complex plane?
A. 2 + 15i
B. 17 + i
C. 20 – 3i
D. 4 – i

Respuesta :

A complex numbers [tex]z = a+bi[/tex] has a magnitude [tex]|z|=\sqrt{a^2+b^2}[/tex].

Then notice for D, [tex]z = 4-i[/tex] implies [tex]a = 4, b=-1[/tex] so [tex]|z| = \sqrt{4^2+(-1)^2} = \sqrt{16+1}=\sqrt{17}[/tex]
D the answer is 4-I...