SComplex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B...

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SComplex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B, C \) respectively of an isosceles right angled triangle with right angle at \( C \) and \( \left(z_{1}-z_{2}\right)^{2}=k\left(z_{1}-z_{3}\right)\left(z_{3}-z_{2}\right) \), then find \( k \)
\( \mathrm{P} \)
(A) 1
(B) 2
(C) 3
(D) \( -2 \)
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