Let `L L '` be the latus rectum through the focus of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` and `A '` be the farther vertex. If ` A ' L L '` is equilateral, then the eccentricity of the hyperbola is (axes are coordinate axes). `sqrt(3)` (b) `sqrt(3)+1` `((sqrt(3)+1)/(sqrt(2)))` (d) `((sqrt(3)+1))/(sqrt(3))`