JEE Math Practice Question

If the line of intersection of the planes $$a x+b y=3$$ and $$a x+b y+c z=0$$, a $$>0$$ makes an angle $$30^{\circ}$$ with the plane $$y-z+2=0$$, then the direction cosines of the line are :

1. A.$$\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0$$
2. B.$$\frac{1}{\sqrt{2}}, \pm \,\frac{1}{\sqrt{2}}, 0$$
3. C.$$\frac{1}{\sqrt{5}},-\frac{2}{\sqrt{5}}, 0$$
4. D.$$\frac{1}{2},-\frac{\sqrt{3}}{2}, 0$$