Hyperbole

Hyperbole is a set of points in the plane, where the difference of the distances of the points from two fixed points is constant. The two points are called focal points..

Hiperbola

$r_{2} - r_{1} = 2 a = c o n s t$

$e = \sqrt{a^{2} + b^{2}}$

Equation of hyperbole

\frac{(x - u)^{2}}{a^{2}} - \frac{(y - v)^{2}}{b^{2}} = 1

Central Hyperbole

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

Tangency condition of a central hyperbole and a line

Központi hiperbola és az egyenes érintési feltétele

a^{2} \cdot k^{2} - b^{2} = n^{2}

where the equation of the tangent line is :

y = k x + n

Keywords: hyperbole, central hyperbole, Tangency condition of a central hyperbole and a line

Trigonometry
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