# Hyperbola

## Conjugate and Transverse Axis of Hyperbola – Length and Formula

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 = …

## Vertices and Center of Hyperbola Coordinates

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 …

## Hyperbola Examples

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 = $$4\over 5$$, …

## Equation of Asymptotes of Hyperbola – Director Circle

Here, you will learn equation of asymptotes of hyperbola and how to find the asymptotes of the hyperbola and the director circle of hyperbola. Let’s begin – Equation of Asymptotes of hyperbola If the length of the perpendicular let fall from the point on the hyperbola to a straight line tends to zero as the …

## Parametric Equation of Rectangular Hyperbola

Here, you will learn what is rectangular hyperbola and parametric equation of rectangular hyperbola with example. Let’s begin – Rectangular Hyperbola The particular kind of the hyperbola in which the length of it’s transverse axis and conjugate axis are equal is called rectangular hyperbola. The eccentricity of the rectangular hyperbola is $$\sqrt{2}$$ and the length …

## Equation of Tangent to Hyperbola in all Forms

Equation of Tangent to Hyperbola $$x^2\over a^2$$ – $$y^2\over b^2$$ = 1 (a) Point form : The equation of tangent to the given hyperbola at its point ($$x_1, y_1$$) is $$x{x_1}\over a^2$$ – $$y{y_1}\over b^2$$ = 1 Example : Find the equation of tangent to the hyperbola $$16x^2$$ – $$9y^2$$ = 144 at (5, 16/3). …