EQUATION OF ELLIPSE FROM THE LENGTH OF MAJOR AND MINOR AXIS WORKSHEET

Problem 1 :

Foci: (±5, 0); major axis of length 12

Solution

Problem 2 :

Foci: (±2, 0); major axis of length 8

Solution

Problem 3 :

Foci: (0, 0), (4, 0); major axis of length 8

Solution

Problem 4 :

Foci: (0, 0), (0, 8); major axis of length 16

Solution

Problem 5 :

Vertices: (0, 4), (4, 4); minor axis of length 2

Solution

Answer Key

1) Equation of ellipse is

x236+y211=1
graph-of-ellipse-q1

2)  Equation of ellipse is

x216+y212=1
graph-of-ellipse-q2.png

3) 

(x-h)2a2+(y-k)2b2=1(x-2)216+y212=1
graph-of-ellipse-q3.png

4)  

(x-h)2a2+(y-k)2b2=1x248+(y-4)264=1
graph-of-ellipse-q4.png

5)

graph-of-ellipse-q6.png

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