Question

plz answer this Q.68

Answer 1

Thank you for asking this question. Here is your answer:

ΔABC is an equilateral triangle.

|z₃ - z₂| = |t₂-t₁| = |t₃-t₁|

Now we will use the rotation of complex numbers:

t₂ - t₁  = ( t₃ - t₁)/ |t₃ - t₁| e ^-iπ/3

t₂ = t₁ (1-e ^ -iπ/3)  + t₃ e ^ -iπ/3

t₂ = t₁ (1+i√3/2) + t₃ (1 - i√3/2)

2t₂ = t₁ (1+i√3) + t₃(1+i√3)

Please see the attached image to understand this question better.

If there is any confusion please leave a comment below.