Question

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

• A. $3$
• B. $4$
• C. $5$
• D. $\frac{5}{2}$

Answer 1

The correct option is D $\frac{5}{2}$

We know eccentricity of
$\frac{l}{r}=a+b\cos \theta +c\sin \theta$ is
$e=\frac{\sqrt{b^2+c^2}}{|a|}$
$\Rightarrow e=\frac{\sqrt{3^2+4^2}}{|2|}=\frac{5}{2}$
Hence, option 'D' is correct.