Hyperbola

We have studied earlier about parabolas and ellipses as two conic sections. In this chapter we will study another conic section called hyperbola which can be obtained by cutting a right circular come at both the nappe by a plane. Thus it has two branches, one on each nappe.

Hyperbola is the locus of a point which moves in a plane such that it distance from a fixed point is e(>1) times its distance from a fixed straight line. It is symmetrical about two axes and one branch is the reflection of other about one of the axes. Since, we have studied ellipse in the previous chapter, it will be easier to understand this chapter. We will give you a proportion by which you can easily get the formulae for hyperbola if you know the formulae for ellipse.

Most of the properties of hyperbola are similar to those of the ellipse. We will introduce the concept of asymptotes. You will also learn about rectangular hyperbolas and conjugate hyperbola.

The rectangular hyperbola can be very simply represented in a parametric form. It is advisable that this fact should always be kept in the fore while solving problems on and related to rectangular hyperbola.

Wishing you “All the Best” for the preparation Hyperbola with askIITians.com.

Topics Covered: 

 

Related Resources
Examples on Propositions of Hyperbola

Examples on Propositions of Hyperbola...

Relation between Focal Distances

Relation between Focal Distances The difference of...

Examples Based on Hyperbola

Examples Based on Hyperbola Illustration: Find the...

Ellipse Vs Hyperbola

Ellipse Vs Hyperbola Enquiry: How do we get...

Solved Examples on Hyperbola

Solved Examples on Hyperbola Example: Show that...

Rectangular Hyperbola

Rectangular hyperbola If the asymptotes of a...

Basic Concepts of Hyperbola

Basic Concepts As we have studied earlier that by...

Intersection of Circle and Rectangular Hyperbola

Intersection of a Circle and a Rectangular...

Parametric Coordinates

Parametric Coordinates We can express the...

Examples on Finding Locus of Point

Examples on Finding Locus of Point Example: C is a...

Important Properties of Hyperbola

Important Properties of Hyperbola Since the...

Propositions of Hyperbola

Propositions of a Hyperbola: Diameter of a...

Conjugate Hyperbola

Conjugate hyperbola A hyperbola whose transverse...