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

Algebra.Com
Question 935298: how can I solve center,foci,eccentricity&latus rectum of ellipse
Answer by MathLover1(20850)   (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:


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, (, ), of the ellipse.
  3. Find the "" for the ellipse. "" is the distance from the center of the ellipse to each focus. "" is often found using the "" and "" from the equation of the ellipse and the equation
  4. Find half of the length of the latus rectum. IOW: . We're going to call this number "" in the next part.
  5. The endpoints of the two latus rectum...
    • for a horizontal ellipse: (, ), (, ), (, ) and (, )
    • for a vertical ellipse: (, ), (, ), (, ) and (,

RELATED QUESTIONS

find the answers of the following: ellipse: 4X^2+y^2+8X-4y-92=0 find its... (answered by jsmallt9)
Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse... (answered by lwsshak3)
Find the foci, eccentricity, length of latus rectum, and the x and y intercepts of the... (answered by MathLover1)
The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The... (answered by lwsshak3)
Pls help me solve : given the with equation 25x^2+16y^2=400 .find the i) length of the (answered by ikleyn)
locate the center, foci, vertices, and ends of the latera recta of the ellipse. find the... (answered by KMST)
Dear Sir/Ma'am Please Help me solve this problem. Find the equation if the Ellipse... (answered by MathLover1)
Please help me solve this equation: if the latus rectum of an ellipse is 5 and... (answered by srinivas.g)
How do you exactly solve for the latus rectum of an... (answered by jsmallt9)