MCQ

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If two lines $L_1$ and $L_2$ in space, are defined by ${L_1} = \{ x = \sqrt \lambda  y + \left( {\sqrt \lambda   - 1} \right),z = \left( {\sqrt \lambda   - 1} \right)y + \sqrt \lambda  \} $ and ${L_2} = \{ x = \sqrt \mu  y + \left( {1 - \sqrt \mu  } \right),z = \left( {1 - \sqrt \mu  } \right)y + \sqrt \mu  \} $ then $L_1$ is perpendicular to $L_2$, for all non-negative reals $\lambda $ and $ \mu $, such that

• A
  $\sqrt \lambda   + \sqrt \mu   = 1$
• B
  $\lambda  \ne \mu $
• C
  $\lambda  + \mu  = 0$
• ✓
  $\lambda  = \mu $