Ellipse

Here you will learn how to find the coordinates of the vertices and center of ellipse formula with examples. Let’s begin – Vertices and Center of Ellipse Coordinates (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b The coordinates of vertices are (a, 0) and (-a, 0). And the coordinates […]

Here you will learn how to find the coordinates of the foci of ellipse formula with examples. Let’s begin – Foci of Ellipse Formula and Coordinates (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b The coordinates of foci are (ae, 0) and (-ae, 0) (ii) For the ellipse \(x^2\over

Here you will learn formula to find the length of major axis of ellipse and minor axis of ellipse with examples. Let’s begin – Major and Minor Axis of Ellipse (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b Length of the major axis = 2a Length of the minor

Here you will learn what is the formula for the length of latus rectum of ellipse with examples.. Let’s begin – Length of Latus Rectum of Ellipse (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b Length of the Latus Rectum = $2b^2\over a$ Equation of latus rectum is x

Here you will learn what is the formula to find the equation of directrix of ellipse with examples. Let’s begin – Directrix of Ellipse Equation (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b The equation of directrix is x = $a\over e$ and x = $-a\over e$ (ii) For

Here you will learn what is the eccentricity of ellipse formula and how to find eccentricity with examples. Let’s begin – Eccentricity of Ellipse Formula (i) For the ellipse $x^2\over a^2$ + $y^2\over b^2$ = 1, a > b we have,  $b^2$ = $a^2(1 – e^2)$ $\implies$  $e^2$ = 1 – $b^2\over a^2$ $\implies$  eccentricity

Here you will learn some ellipse examples for better understanding of ellipse concepts. Example 1 : Find the equation of ellipse whose foci are (2, 3), (-2, 3) and whose semi major axis is of length $\sqrt{5}$ Solution : Here S = (2, 3) & S’ is (-2, 3) and b = $\sqrt{5}$ $\implies$ SS’