Question

Find the length of the minor axis of the ellipse described by the equation:x squared over 12 plus y squared over 13 equals 1

Answer 1

This equation of the ellipse can be modeled by

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

The major axis is the y-axis and minor axis is the x-axis.

So, the length of the minor axis of this ellipse is "2a".

First, let's find "a",

$\begin{gathered} a^2=12 \\ a=\sqrt[]{12} \end{gathered}$

The length of the minor axis is >>>

$\begin{gathered} 2a \\ =2(\sqrt[]{12}) \\ =2\sqrt[]{12} \end{gathered}$Answer$2\sqrt[]{12}$