Chapter 11, Problem 12RE

To determine

To draw: the graph of the ellipse.

Explanation of Solution

Given information:

The equation of ellipse is $9x^2+4y^2=1$

Graph: to draw the graph of the ellipse, use the plotting point method,

$x$	$y$
$-\frac{1}{3}$	$0$
$\frac{1}{3}$	$0$
$0$	$0.5$

By using the above table, and join the points,

The graph can be obtained as:

  

Interpretation: from the above graph it can be observed that the centre of the ellipse is $\left(0,0\right)$ , vertices are $\left(\pm 1,0\right)$ , foci are $\left(0,\pm \frac{1}{3}\right)$ and the length of the major axis is $1$ and length of minor axis is $\frac{2}{3}$ .