SOLUTION: Find the coordinates of the foci, the endpoints of the major axis, minor axis and the latus rectum. y^2/25+x^2/9=1

Algebra ->  Finance -> SOLUTION: Find the coordinates of the foci, the endpoints of the major axis, minor axis and the latus rectum. y^2/25+x^2/9=1      Log On


   



Question 1190889: Find the coordinates of the foci, the endpoints of the major axis, minor axis and the latus rectum.
y^2/25+x^2/9=1

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y%5E2%2F25%2Bx%5E2%2F9=1-> vertical ellipse

center at origin, h=0,+k=0

the major axis: 2a=2sqrt%2825%29=10->a=5
minor axis : 2b=2sqrt%289%29=6->b=3
c=sqrt%2825-9%29=4

the foci: (h,k%2Bc) and (h, k-c)-> since h=0, k=0, and c=4, foci are at
(0,4) and (0,+-4)

the endpoints of the major axis at vertices:(h,k%2Ba) and (h, k-a)
so, at
(0,5) and (0,+-5)

the latus rectum: 2b%5E2%2Fa=%282%2A3%5E2%29%2F5=18%2F5