# Hyperbola

## 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). …

## Equation of Normal to Hyperbola in all Forms

Equation of Normal to hyperbola : $$x^2\over a^2$$ – $$y^2\over b^2$$ = 1 (a) Point form : The equation of normal to the given hyperbola at the point P($$x_1, y_1$$) is $$a^2x\over x_1$$ + $$b^2y\over y_1$$ = $$a^2+b^2$$ = $$a^2e^2$$ Example : Find the equation of normal to the hyperbola $$x^2\over 25$$ – $$y^2\over 16$$ = …

## Equation of Conjugate Hyperbola

Here you will learn what is conjugate hyperbola, equation of conjugate hyperbola and basic definitions of like eccentricity and latus rectum. Let’s begin – The hyperbola whose transverse & conjugate axes are respectively the conjugate and transverse axes of given hyperbola is called the conjugate hyperbola of given hyperbola.  The equation of the conjugate hyperbola …

## Equation of the Hyperbola | Graph of a Hyperbola

Here you will learn what is hyperbola, equation of the hyperbola and graph of a hyperbola with basic definitions like vertex, foci and directrix. Let’s begin – What is Hyperbola ? A hyperbola is the locus of a point in a plane which moves in a plane in such way that the ratio of its …