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Q.
If $2z_1-3z_2-z_3=0$ , then $z_1,z_2,z_3$ are represented by
Complex Numbers and Quadratic Equations
Solution:
Since $z_{2}=\frac{2z_{1}+z_{3}}{2+1}$
$\therefore z_{2}$ divides the line joining $z_{1}, z_{3}$ in the ratio $2 : 1$ internally.
$\therefore z_{1}, z_{2}, z_{3}$ are collinear.