Question

which complex number has a distance of √17 from the origin on the complex plane?a. 2 15ib. 17 ic. 20 - 3id. 4 - i

Answer 1

Let
`z=a+bi`.
`|z| = √(a^2+b^2)`, so:

`|z_a| = √(0+15^2) = 15 \\eq √(17) \\ |z_b| = √(0+17^2) = 17\\eq √(17) \\ |z_c| = √(20^2+3^2) \ \textgreater \ √(20^2) = 20\ \textgreater \ √(17) \\\\ \boxedz_d`