Complex qs. (1 Viewer)

[rickypontingdagoat]

The diagram shows an isosceles triangle PAB. PM. is the bisector of angle APB, where angle APB = β. PM bisects AB. A and B represent complex numbers z1 and z2 respectively

Find the complex number MP and hence show P represents the complex number

1/2 ( 1-icot(β/2))z1 + 1/2(1+icotβ/2)z2


could anyone as well provide any tips that i can use when attempting geometry based complex qs, to know what to look for or how to use the condition better?

 

[ProGT408]

I think you use a rhombus right? Since it says angle bisector