SOLUTION: (0,0)(0,8);12 FIND THE EQUATION OF THE ELLIPSE GIVEN THE FOLLOWING POINTS AS FOCI AND THE GIVEN NUMBER AS A SUM OF THE FOCAL RADII

Question 887587: (0,0)(0,8);12 FIND THE EQUATION OF THE ELLIPSE GIVEN THE FOLLOWING POINTS AS FOCI AND THE GIVEN NUMBER AS A SUM OF THE FOCAL RADII

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
(0,0)(0,8);12 FIND THE EQUATION OF THE ELLIPSE GIVEN THE FOLLOWING POINTS AS FOCI AND THE GIVEN NUMBER AS A SUM OF THE FOCAL RADII
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Given ellipse has a vertical major axis.
Its standard form of equation: , a>b, (h,k)=coordinates of center
..
center:(0,4)
Sum of focal radii=12=2a
a=6
a^2=36
c=4 (distance from center to foci)
c^2=16
c^2=a^2-b^2
b^2=a^2-c^2=36-16=20
equation:
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