Question:
Let $Z_{1}$ and $Z_{2}$ be two roots of the equation $Z^{2}+a Z+b=0, Z$ being complex. Further, assume that the origin, $Z_{1}$ and $Z_{2}$ form an equilateral triangle. Then
Correct Option: 4
JEE Main Previous Year 2003
Solution:
Let $Z_{1}$ and $Z_{2}$ be two roots of the equation $Z^{2}+a Z+b=0, Z$ being complex. Further, assume that the origin, $Z_{1}$ and $Z_{2}$ form an equilateral triangle. Then
Correct Option: 4