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Let $${Z_1}$$ and $${Z_2}$$ be two roots of the equation $${Z^2} + aZ + b = 0$$, Z being complex. Further , assume that the origin, $${Z_1}$$ and $${Z_2}$$ form an equilateral triangle. Then :

JEE · Math · previous-year question

  1. A.$${a^2} = 4b$$
  2. B.$${a^2} = b$$
  3. C.$${a^2} = 2b$$
  4. D.$${a^2} = 3b$$

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