# Horizontal Hyperbola (Standard Equation)

## Description

Hyperbola is the set of all points in the plane, such that the absolute value of the difference of each of the distances from two fixed points is constant. These fixed points “F1” and “F2” are called “foci”, and on
the horizontal hyperbola lie on X-X’ axis. The standard equation of a hyperbola relates (Xv,Yv) vertex coordinates to the coordinates of a point on the hyperbola, the half the distance between the two arms of the hyperbola measured along the major axis and the half distance between the asymptotes along a line tangent to the hyperbola at a vertex.

Horizontal Hyperbola is the hyperbola whose branches open to the left and right

## Variables

x | Coordinate of a point of the hyperbola on X axe (m) |

X_{v} | Abscissa of the vertex of the hyperbola (m) |

a | Half the distance between the two arms of the hyperbola measured along the major axis (m) |

y | Coordinate of a point of the hyperbola on Y axe (m) |

Y_{v} | Ordinate of the vertex of the hyperbola (m) |

b | Half the distance between the asymptotes along a line tangent to the hyperbola at a vertex (m) |