. Let Z1 and Z2 be two roots of the equation 2 Z aZ b + += 0 , Z being complex. Further , assume that the origin, Z1 and Z2 form an equilateral triangle. Then

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

  1. $a^{2}=4 b$

  2. $a^{2}=b$

  3. $a^{2}=2 b$

  4. $a^{2}=3 b$


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year 2003

Solution:

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