Problem 1 :
Vertices: (5, 0), (5, 12)
endpoints of the minor axis: (1, 6), (9, 6)
Solution:
The symmetric is about y-axis.
Minor axis = 2b
minor axis: (1, 6), (9, 6)
Major axis = 2a
Vertices: (5, 0), (5, 12)
The midpoint of vertices is the center of the ellipse
The equation of the ellipse is
Problem 2 :
Vertices: (0, 2), (4, 2)
endpoints of the minor axis: (2, 3), (2, 1)
Solution:
The symmetric is about x-axis.
Minor axis = 2b
minor axis: (2, 3), (2, 1)
Major axis = 2a
Vertices: (0, 2), (4, 2)
The midpoint of vertices is the center of the ellipse
The equation of the ellipse is
Problem 3 :
Major axis vertical with length 10
Length of minor axis 4; Center (-2, 3)
Solution:
Major axis is vertical
Center (h, k) = (-2, 3)
Major axis = 2a
Minor axis = 2b
2a = 10
a = 5
2b = 4
b = 4
So, the equation of an ellipse is
Problem 4 :
Endpoints of Major axis: (7, 9) & (7, 3)
Endpoints of Minor axis: (5, 6) & (9, 6)
Solution:
Major axis: (7, 9) (7, 3)
Major axis = 2a
Minor axis = 2b
So, equation of ellipse is
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM