To divide a line segment $AB$ in the ration $4 : 7$, a ray $AX$ is drawn first such that $\angle BAX$ is an acute angle and then points $A_1,A_2,A_3,…$ are located at equal distances on the ray $AX$ and the point $B$ is joined to :

Question

$(A) \; A_9 \\(B)\; A_{10} \\(C)\; A_{11} \\(D)\; A_{12} $