Hyperbola

Here you will learn what is the formula to find the length of latus rectum of hyperbola with examples. Let’s begin – Length of Latus Rectum of Hyperbola Formula (i) For the hyperbola $x^2\over a^2$ – $y^2\over b^2$ = 1 Length of Latus Rectum = $2b^2\over a$ (ii) For the hyperbola -$x^2\over a^2$ + \(y^2\over […]

Here you will learn what is the eccentricity of hyperbola formula and how to find eccentricity with examples. Let’s begin – Eccentricity of Hyperbola Formula (i) For the hyperbola $x^2\over a^2$ – $y^2\over b^2$ = 1 Eccentricity (e) = $\sqrt{1 + {b^2\over a^2}}$ (ii) For the hyperbola -$x^2\over a^2$ + $y^2\over b^2$ = 1 Eccentricity

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

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

Here you will learn formula to find the length of conjugate axis and transverse axis of hyperbola with examples. Let’s begin – Conjugate and Transverse Axis of Hyperbola (i) For the hyperbola $x^2\over a^2$ – $y^2\over b^2$ = 1 The length of the transverse axis = 2a And the length of the conjugate axis =

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

Here you will learn some hyperbola examples for better understanding of hyperbola concepts. Example 1 : If the foci of a hyperbola are foci of the ellipse $x^2\over 25$ + $y^2\over 9$ = 1. If the eccentricity of the hyperbola be 2, then its equation is : Solution : For ellipse e = $4\over 5$,