SOLUTION: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find. a. The Center C b. Length of Major Axis c. Length of Minor Axis d. Distance from C to foci

Question 259707: Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find.
a. The Center C
b. Length of Major Axis
c. Length of Minor Axis
d. Distance from C to foci
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have this original equation as
(i)
rearranging, we get
(ii)
complete the square to get
(iii)
to get
(iv)
dividing by 12, we get
(v)
---
center is (-8,4)
--
major axis = sqrt(6)
--
minor axis = sqrt(2)
--
distance to foci
sqrt(sqrt(6) - sqrt(2)) = sqrt(4) = 2
RELATED QUESTIONS
Given the ellipse: 2x^2 + 6y^2 + 32x - 48y + 212 = 0 find. a. The Center C b. Length of (answered by stanbon)

Given the ellipse; 2x^2+6y^2+32x-48y+212=0 Find the center, the major axis, the... (answered by ewatrrr)

Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0 a) Put the... (answered by Boreal)

Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0 a) Put the... (answered by lwsshak3)

Given the ellipse: x^2+4y^2-2x-8y+1=0 Find the center, the length of the major axis,... (answered by ewatrrr)

For the following ellipse: (x + 2)2 + (y + 2)2 = 1 (answered by Boreal)

Give the equation X^2+4y^2=16 find: a. The center C (use (,)) b. Length of major... (answered by greenestamps)

4x^2+y^2-48x-4y+48=0 find center C, length of major axis, length of minor axis, distance... (answered by lwsshak3)

For the given ellipse, find the principal axis, center, vertices, co-vertices, foci,... (answered by Edwin McCravy)