Find the length of the major axis of the ellipse $4 x^{2}+9 y^{2}=324$.
A) 2
B) 18
C) $\sqrt{117}$
D) 9

Name: Find the length of the major axis of the ellipse $4 x^{2}+9 y^{2}=324$. A) 2 B) 18 C) $\sqrt{117}$ D) 9
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Quizplus · Accepted Answer

The given equation of the ellipse is $ \frac{x^2}{81} + \frac{y^2}{36} = 1 $. The major axis is along the x-axis with length $2a$, where $a^2 = 81$, so $a = 9$. Thus, the length of the major axis is $2a = 18$.

Find the Length of the Major Axis of the Ellipse 4x2+9y2=3244 x^{2}+9 y^{2}=3244x2+9y2=324

Find the Length of the Major Axis of the Ellipse $4 x^{2}+9 y^{2}=324$