Find the center and vertices which located on the major axis of the ellipse. $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 9 } = 1$
A)center: (0, 0) vertices: (0, -5), (0, 5)
B)center: (0, 0) vertices: (-3, 0), (3, 0)
C)center: (5, 3) vertices: (-5, -3), (5, 3)
D)center: (0, 0) vertices: (-5, 0), (5, 0)
E)center: (5, 0) vertices: (0, -3), (0, 3)

Question

Quizplus · Accepted Answer

The center of the ellipse is at the origin (0, 0) because the equation is in the standard form $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ with $a^2 = 25$ and $b^2 = 9$. The major axis is along the x-axis because $a^2 > b^2$, and the vertices on the major axis are at $(-5, 0)$ and $(5, 0)$, where $a = 5$.

Find the Center and Vertices Which Located on the Major x225+y29=1\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 9 } = 125x2​+9y2​=1

Find the Center and Vertices Which Located on the Major $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 9 } = 1$