Question

$\underline{\textbf{what is hyperbola?, explain in detail }}$

[ 100 points ] ​

Answer 1

Step-by-step explanation:

A hyperbola can be defined geometrically as a set of points (locus of points) in the Euclidean plane: A hyperbola is a set of points, such that for any point of the set, the absolute difference of the distances. to two fixed points (the foci), is constant, usually denoted by.

Answer 2

⊕ANSWER⊕

• A plane curve having two separate parts or branches, formed when two cones that point toward one another are intersected by a plane that is parallel to the axes of the cones.

USE IN MATHEMATICS

• In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

• Dulles Airport, designed by Eero Saarinen, is in the shape of a hyperbolic paraboloid.

• The hyperbolic paraboloid is a three-dimensional curve that is a hyperbola in one cross-section, and a parabola in another cross section.

• A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

USE IN PHYSICS

• A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

• A hyperbola is the locus of a point that moves such that the difference between its distances from two fixed points called the foci is constant.

• This placed the ship on a particular hyperbola.

PARTS OF HYPERBOLA

• There are horizontal and vertical hyperbolas, but regardless of how the hyperbola opens, you always find the following parts:

• The center is at the point (h, v).

• The graph on both sides gets closer and closer to two diagonal lines known as asymptotes.
• There are two axes of symmetry