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Multiple choice

If $\lambda \in R$ is such that the sum of the cubes of the roots of the equation, $x^2 + (2 - \lambda)x + (10 - \lambda) = 0$ is minimum, then the sum of the roots of this equation is

  1. $20$
  2. $12$
  3. $6$
  4. $4 \sqrt 2$
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B Correct answer

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