If a _ 1 be the two roots of the equation x 2 + x + 1 = 0, then the equation whose roots…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If \(\mathrm{a}_{1} \beta\) be the two roots of the equation x2 + x + 1 = 0, then the equation whose roots are \(\frac{x}{\beta} \text { and } \frac{\beta}{x}\) is :
  1. x2 + x + 1 = 0
  2. x2 - x + 1 = 0
  3. x2 - x - 1 = 0
  4. x2 + x - 1 = 0

Answer

(B) x 2 - x + 1 = 0

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