## Foci of the ellipse:

## Let F and F’ be two Foci of the ellipse, Foci of an ellipse are always lying on major Axis

##### x ²/ a² + y ² / b ² = 1

### center of the ellipse:

**Center of ellipse** is the mid-point of two Foci point of an ellipse, here the coordinate of center **C is (0, 0).**

#### Vertices of an ellipse:

The **end point** on the ellipse on the x-axis, where y = 0 from figure these are the points **A’ (-a, 0) and A (a, 0).** The points A and A’ are called **vertices of the ellipse.**

#### Major axis of the ellipse:

The line segment **AA’ = 2.a** is called a **major axis** of the ellipse.

#### Minor axis of the ellipse:

The line through (1) and perpendicular to the **major axis** has its equation as x = 0. It means (1) at points **B’ (0, b) and B(0, -b).** The line segment **BB’ = 2b** is called the **minor axis** of the ellipse.

##### Covert ices of ellipse:

**If b² = a ² (1 – e²) and e < 1** and the length of the major axis is greater than the length of the minor axis, then the figure on** B. B’** is called **co vertices of the ellipse**.

##### Latusrectum and Latrarecta of the ellipse:

Each of the focal chords **L F L’** perpendicular to the** major Axis** of an ellipse is called a **Latusrectum** of the ellipse. Thus, there are two **Laterarecta** of an ellipse. It is an easy exercise to find the length of the Latusrectum is **2 b² / a.**

##### Foci lie on y-axis:

if the Foci lie on the y-axis with coordinate (0, -a.e) and (0, a.e) then the equation of ellipse is

##### x²/ b ²+ y ² / a² = 1 then a > b

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