FROM THE GIVEN VERTEX AND FOCUS FIND EQUATION OF ELLIPSE WORKSHEET

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Vertices: (±6, 0); foci: (±2, 0)

Solution

Problem 4 :

Vertices: (0, ±8); foci: (0, ±4)

Solution

Find the standard form of the equation of the ellipse with the given characteristics.

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Find the standard form of the equation of each ellipse.

Problem 1 :

Foci (0, ±3), vertices (0, ±5)

Solution

Problem 2 :

Major axis horizontal with length 12,length of minor axis 4; center: (-1, 3)

Solution

Problem 3 :

Foci (±5, 0), length of major axis 12

Solution

Problem 4 :

Endpoints of major axis: (2, 2) & (8, 2), Endpoints of minor axis: (5, 3) & (5, 1)

Solution

Problem 5 :

Solution

Problem 6 :

Solution