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

`(x^2)/(a^2)+(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}`