Complex Numbers

now,

let γ/δ = k (real)

so

Z={1/(k+t)} ((α/δ)+t(β/δ))

Z = {1/(k+t)} (k(α/γ)+t(β/δ))

now ,

let α/γ = z₁ & β/δ = z₂

it is given that z₁ ≠z₂

Z = {1/(k+t)} (kz₁+tz₂)

Z = {1/(k+t)} ((k+t)z₁+t(z₂-z₁))

Z = z₁+{t/(k+t)}(z₂-z₁)

let λ = t/(k+t) (real)

Z = z₁+λ(z₂-z₁)

now this represents an equation of a straight line passing through z₁ & parallel to (z₂-z₁)

<<<<<<<<<<<dimensions>>>>>>>>>>

dimensions thnx da