Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,911 users

What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?

0 votes

What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?

asked Dec 6, 2013 in GEOMETRY by futai Scholar

1 Answer

0 votes

Given ellipse foci (0,4),(0,-4)

given ellipse is vertical ellipse.

(x-h)^2/a^2+(y-k)^2/b^2 = 1

Center (h,k)

Vertices are (h,k+a) , (h,k-a)

Focal distance c = sqrt(a^2-b^2)

Foci (h,k+c),(h,k-c)

Center = (h,k) = (0,0)

Foci (0,4),(0,-4)

Vertices are (0,8),(0-8)

We can able to write a = 8

c = 4

c = sqrt(a^2-b^2)

c^2 = a^2-b^2

16 = 64-b^2

64-16 = b^2

48 = b^2

Equation of ellipse is x^2/48+y^2/64 = 1

answered Jan 20, 2014 by david Expert

Related questions

...