If a line makes angles $90^{\circ}, 135^{\circ}$ and $45^{\circ}$ with the positive $X, Y$ and $Z$ axis respectively,then its direction cosines are

  • A
    $\left(0, \frac{1}{2}, \frac{1}{\sqrt{2}}\right)$
  • B
    $\left(0, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$
  • C
    $\left(1, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$
  • D
    $\left(1, \frac{-1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$

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