An ellipse and a hyperbola have their principal axes along the
coordinate axes and have a common foci separated by distance `2sqrt(3)dot`
The difference of their focal semi-axes is equal to 4. If the ratio of
their eccentricities is 3/7 , find the equation of these curves.
Text Solution
AI Generated Solution
To solve the problem step-by-step, we will derive the equations of the ellipse and hyperbola based on the given conditions.
### Step 1: Define Variables
Let:
- For the ellipse:
- Semi-major axis = \( A \)
- Semi-minor axis = \( B \)
- Eccentricity = \( E \)
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