Let an ellipse with centre (1,0) and latus rectum of length 1/2 have its major axis along x -axis. If its minor axis subtends an angle 60^° at the…

Let an ellipse with centre $\displaystyle (1,0)$ and latus rectum of length $\displaystyle \frac{1}{2}$ have its major axis along $\displaystyle x$-axis. If its minor axis subtends an angle $\displaystyle 60^{\circ}$ at the foci, then the square of the sum of the lengths of its minor and major axes is equal to $\displaystyle \_\_\_\_$.