If the angle between the line $\;2(x+1)=y=z+4\;$ and the plane $\;2x-y+\sqrt{\lambda}z+4=0\;$ is $\;\large\frac{\pi}{6}\;$ ,then the value of $\;\lambda\;$ is :

Question

$(a)\;\large\frac{135}{7}\qquad(b)\;\large\frac{45}{11}\qquad(c)\;\large\frac{45}{7}\qquad(d)\;\large\frac{135}{11}$