Write the equation of the ellipse with center at $( 2,3 ) , a = 5 , b = 3$ and major axis parallel to the x-axis.
A)
$$\frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1$$
B)
$$\frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 9 } = - 1$$
C)
$$\frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1$$
D)
$$\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y - 3 ) ^ { 2 } } { 25 } = 1$$

Question

Quizplus · Accepted Answer

The equation of an ellipse with its center at $(h, k)$, major axis length $2a$, minor axis length $2b$, and major axis parallel to the x-axis is $\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1$. Given $a = 5, b = 3$, and center $(2, 3)$, the equation becomes $\frac{(x - 2)^2}{25} + \frac{(y - 3)^2}{9} = 1$.

Write the Equation of the Ellipse with Center At (2,3),a=5,b=3( 2,3 ) , a = 5 , b = 3(2,3),a=5,b=3

Write the Equation of the Ellipse with Center At $( 2,3 ) , a = 5 , b = 3$