The eccentricity of the conic $\large\frac{5}{r}$$=2 + 3 \cos \theta+ 4 \sin \theta$ is :

Question

$$\begin {array} {1 1} (1)\;\frac{1}{2} & \quad (2)\;1 \\ (3)\;\frac{3}{2} & \quad (4)\;\frac{5}{2} \end {array}$$