SOLUTION: how can I solve center,foci,eccentricity&latus rectum of ellipse

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Question 935298: how can I solve center,foci,eccentricity&latus rectum of ellipse
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If you're asking about finding the length of the latus rectum of an ellipse, it is:
2%2Ab%5E2%2Fa

If you're asking about how to find the endpoints of the latus rectum, then
  1. Determine if the ellipse is vertical or horizontal.
  2. Find the center, (h, k), of the ellipse.
  3. Find the "c" for the ellipse. "c" is the distance from the center of the ellipse to each focus. "c" is often found using the "a" and "b" from the equation of the ellipse and the equation a%5E2+=+b%5E2+%2B+c%5E2
  4. Find half of the length of the latus rectum. IOW: b%5E2%2Fa. We're going to call this number "q" in the next part.
  5. The endpoints of the two latus rectum...
    • for a horizontal ellipse: (h%2Bc, k%2Bq), (h%2Bc, k-q), (h-c, k%2Bq) and (h-c, k-q)
    • for a vertical ellipse: (h%2Bq, k%2Bc), (h%2Bq, k-c), (h-q, k%2Bc) and (h-q, k-c%29