EQUATION OF ELLIPSE FROM VERTICES AND ENDPOINTS WORKSHEET

Problem 1 :

Vertices: (5, 0), (5, 12)

endpoints of the minor axis: (1, 6), (9, 6)

Solution

Problem 2 :

Vertices: (0, 2), (4, 2)

endpoints of the minor axis: (2, 3), (2, 1)

Solution

Problem 3 :

Major axis vertical with length 10

Length of minor axis 4; Center (-2, 3)

Solution

Problem 4 :

Endpoints of Major axis: (7, 9) & (7, 3)

Endpoints of Minor axis: (5, 6) & (9, 6)

Solution

Answer Key

1)  

(x-5)242+(y-6)262=1(x-5)216+(y-6)236=1

2)  

(x-2)222+(y-2)222=1(x-2)24+(y-6)21=1

3)

(x+2)222+(y-3)252=1(x+2)24+(y-3)225=1

4)  

(x-7)222+(y-6)232=1(x-7)24+(y-6)29=1

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