Different Types of Ellipses
There are two types of ellipses: one ellipse has the Xaxis as the major axis and the other has the Yaxis as the major axis. In the given table we explain different components and graphs of ellipses.
Standard Ellipses
Equation 
$$\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1,\,\,\,a > b$$

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

Focus 
$$\left( { \pm ae,0} \right)$$

$$\left( {0, \pm ae} \right)$$

Directrices 
$$x = \pm \frac{a}{e}$$

$$y = \pm \frac{a}{e}$$

Major Axis 
$$y = 0$$

$$x = 0$$

Vertices 
$$\left( { \pm a,0} \right)$$

$$\left( {0, \pm a} \right)$$

CoVertices 
$$\left( {0, \pm b} \right)$$

$$\left( { \pm b,0} \right)$$

Center 
$$\left( {0,0} \right)$$

$$\left( {0,0} \right)$$

Eccentricity 
$$e = \frac{{\sqrt {{a^2} – {b^2}} }}{a},\,\,\,a > b$$

$$e = \frac{{\sqrt {{a^2} – {b^2}} }}{a},\,\,\,a > b$$

Length of Major Axis 
$$2a$$

$$2a$$

Length of Minor Axis 
$$2b$$

$$2b$$

Length of Latus Rectum 
$$\frac{{2{b^2}}}{a}$$

$$\frac{{2{b^2}}}{a}$$

Graph 
Mrs Beverly Utly
March 20 @ 2:18 am
Is the formula for latus rectum both the equations same?