Find the equation of the ellipse in the following case: ends of major axis `(+-3,0)` ends of minor axis `(0,+-2)`

Explanation

We can create a diagram of the given ellipse.

Please refer to video for the diagram.

Ends of major-axis ` = (+-3,0)`

Ends of minor axis ` = (0,+-2)`

So, `a = 3` and `b = 2`

Thus, equation of the ellipse will be,

`x^2/3^2+y^2/2^2 = 1`

`x^2/9+y^2/4 = 1`