SOLUTION:

Question 1181120:
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

D U P L I C A T E

        T R I P L I C A T E

                Q U A D R U P L I C A T E

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

..........both sides divide by

=> , ,
=>
=>
therefore is semi-major axis and is semi-minor axis
=>=>
1. Center: (,)
2. Foci: (, ), (, )
𝐹1 (, ), (, )
𝐹2 (, ), (, )

3. Vertices: (,), (,)
𝑉1 (,) => (,)
𝑉2 (,) => (,)
4. Co-vertices (,), (,)

𝐵1 (,) =>(,)
𝐵2(,)=>(,)
5. Endpoints of Latus Rectum
foci are (, ), (, )
endpoints will lie on intersection of the line and the line with ellipse
...substitute
...solve for

or
...substitute
...solve for

or

𝐸1 (, )
𝐸2 (, )
𝐸3 (, )
𝐸4 (, )

6. Directrices:
=>approximately
=>approximately

7. Eccentricity: approximately
8. Length of LR:
9. Length of Major Axis:
10.Length of Minor Axis: