For what value of $\lambda$ the sum of the squares of the roots of ${x^2} + (2 + \lambda )\,x - \frac{1}{2}(1 + \lambda ) = 0$ is minimum

  • A

    $3/2$

  • B

    $1$

  • C

    $1/2$

  • D

    $11/4$

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