Question

Which complex number has a distance of |17| from the origin on the complex plane?

Answer 1

Hello from MrBillDoesMath!

Answer:

z = 17 e^(i t)  

where "t" is a real number

Discussion:

distance (17 e^(it))  =                                        => using deMoivre's formula)

distance ( 17 )  distance ( cost + i sintt) ) =    

17 sqrt(  (cost)^2 + (sint)^2)  =                         =>  (cost)^2 + (sint)^2 =1

17 * 1

= 17

Thank you,

MrB