Complex Number (1 Viewer)

[noobking]

the complex number z=x+iy, x and y real, is such that mod of z-1 equals to
Im(z)

i)show that the locus of the pt P representing z has cartesian equation
y=0.5(x^2+1)

ii)find the gradients of the tangents to this curve which pass through the origin, hence find the set of possible values of the principal argument of z (ie. -180<argz<180)

 

[Affinity]

Hmm I think you got the question wrong, it should be |z-i| = Im(z) try not |z-1|

Try it again