Question

Find the equation in standard form of the ellipse with foci (0,5), and (0,-5) and major axis of length 14.

a.)x^2/49+y^2/24=1
b.)x^2/24+y^2/49=1
c.)x^2/4+y^2/49=1
d.)x^2/49+y^2/4=1

Answer 1

http://www.mhhe.com/math/precalc/barnettca2/student/olc/graphics/barnett01caaga_s/ch07/downloads/pc/ch07section2.pdf < heres a website taht might help you

Answer 2

foci (0,5) , (0,-5) we get C=5
major axis of length 14 that means 2b=14 b=7
\[\frac{ x^2 }{ b^2 }+\frac{ y^2 }{ a^2 }=1\]
\[a>b>0\]

Answer 3

srry. 2a=14 a=7 :)

Answer 4

\[c^2=a^2-b^2\]
\[b^2=a^2-c^2\]
\[b^2=49-25=24\]
\[\frac{ x^2 }{ 24 }+\frac{ y^2 }{ 49 }=1\]

Answer 5

answer is b