Write the equation of the ellipse with center at $( 1,4 ) , a = 3 , b = 2$ and major axis parallel to the $x$-axis.
A) $\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$
B) $\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } - \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$
C) $\quad \frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = - 1$
D)
$$\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 4 ) ^ { 2 } } { 9 } = 1$$
E) none of these

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 $h = 1$, $k = 4$, $a = 3$, and $b = 2$, the equation becomes $\frac{(x-1)^2}{9} + \frac{(y-4)^2}{4} = 1$.

Write the Equation of the Ellipse with Center At (1,4),a=3,b=2( 1,4 ) , a = 3 , b = 2(1,4),a=3,b=2

Write the Equation of the Ellipse with Center At $( 1,4 ) , a = 3 , b = 2$