Properties of hyperbola

Introduction to hyperbola learning:

A hyperbola learning is a conic section obtained on slicing a double napped cone by a plane parallel to the axis of the cone.

The locus of a point from a fixed point is at a constant ratio and it is greater than one of its distance from a fixed line is called a Hyperbola.

Standard form of a hyperbola

x²/a² – y²/b² = 1

Learning Properties of hyperbola

Properties of hyperbola is the lines from the foci to any point on a hyperbola make equal angles with the tangent at that point. Hence if the surface of a reflector is generated by revolving a hyperbola about its transverse axis, all rays of light converging on one focus are reflected to the other, along with hyperbolic functions

The hyperbola is symmetric about x-axis, y-axis and hence the hyperbola is symmetric about the origin.

The hyperbola does not pass through the origin.

The tangent from any point (x₁, y₁) to the hyperbola is xx₁/a² – yy₁/b² = 1

learning the above properties will help to solve many problems

This is only the brief introduction to properties of hyperbola. Let us try to learn more on this topic. may be in the next lesson let me help you go through on Procedure for Draw the Hyperbola Graph.