Question:

In an ellipse with major axis along x-axis, distance between foci is 6 and minor axis has length 8. The eccentricity is

$\dfrac{4}{5}$

$\dfrac{3}{4}$

$\dfrac{3}{5}$

$\dfrac{1}{2}$

Step-by-Step Solution

Key Concept: $2ae=6\Rightarrow ae=3$; $2b=8\Rightarrow b=4$; $b^2=a^2-a^2e^2$

$e=3/5$.

Correct Answer: 3