What is the standard equation of an ellipse with center at the origin and major axis along the x-axis?
A
x²/a² + y²/b² = 1 (a > b)
B
y²/a² + x²/b² = 1 (a > b)
C
x²/b² + y²/a² = 1
D
x²/a² - y²/b² = 1
Analysis & Theory
If the major axis is along the x-axis, the equation is x²/a² + y²/b² = 1 with a > b.
What is the standard equation of an ellipse with center at the origin and major axis along the y-axis?
A
x²/a² + y²/b² = 1
B
y²/a² + x²/b² = 1 (a > b)
C
x²/b² + y²/a² = 1
D
y²/a² - x²/b² = 1
Analysis & Theory
If the major axis is along the y-axis, the equation is y²/a² + x²/b² = 1 with a > b.
In the ellipse x²/a² + y²/b² = 1 (a > b), what are the coordinates of the foci?
A
(±c, 0)
B
(0, ±c)
C
(±a, 0)
D
(0, ±b)
Analysis & Theory
For major axis along x-axis, foci are at (±c, 0) where c² = a² - b².
In the ellipse y²/a² + x²/b² = 1 (a > b), what are the coordinates of the foci?
A
(±c, 0)
B
(0, ±c)
C
(±a, 0)
D
(0, ±b)
Analysis & Theory
For major axis along y-axis, foci are at (0, ±c) where c² = a² - b².
In the ellipse x²/a² + y²/b² = 1, what is the length of the major axis?
A
2a
B
2b
C
a + b
D
a - b
Analysis & Theory
The major axis length of the ellipse is 2a.
In the ellipse x²/a² + y²/b² = 1, what is the length of the minor axis?
A
2a
B
2b
C
a + b
D
a - b
Analysis & Theory
The minor axis length of the ellipse is 2b.