SOLUTION: What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ?
Algebra ->
Quadratic-relations-and-conic-sections
-> SOLUTION: What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ?
Log On
Question 948994: What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ?
***
major axis is horizontal
latus rectum=
b^2=3a/4
c=√13(distance from center to foci)
c^2=13
c^2=a^2-b^2
a^2-b^2=13
a^2-3a/4-13=0
4a^2-3a-52=0
(a-4)(4a+13)=0
a=-13/4(reject)
a=4
a^2=16
b^2=3a/4=3
equation:
(