If the line of intersection of the planes \( a x+b y=3 \) and \( a x+b y+c z=0, a0 \) makes an a...

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If the line of intersection of the planes \( a x+b y=3 \) and \( a x+b y+c z=0, a0 \) makes an angle \( 30^{\circ} \) with the plane \( y-z+2=0 \) then the direction cosines of the line are
(a) \( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0 \)
(b) \( \frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}, 0 \)
(c) \( \frac{1}{\sqrt{5}},-\frac{2}{\sqrt{5}}, 0 \)
(d) \( \frac{1}{2}-\frac{\sqrt{3}}{2}, 0 \)
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