O'Reilly logo

Business Mathematics by Chirag Trivedi, Kashyap Trivedi

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

20

Hyperbola

LEARNING OBJECTIVES

After studying this chapter, the student will be able to understand:

  • Standard equation

  • Parametric equation

  • Foci; directrix; eccentricity, latus rectum

  • Equation of auxillary and direct circle of the hyperbola

  • Equation of tangent at point (x1, y1) and at θ point and the necessary and sufficient condition for y = mx + c to be a tangent to the hyperbola and the co-ordinates of point of contact

  • Properties of Hyperbola

  • Asymptoter and rectangular hyperbola—its equation and foci

INTRODUCTION

Definition

The set of all points in the plane whose distance from a fixed point is in a constant ratio e to its distance from a fixed line is called a hyperbola and e > 1.

The fixed point is said to be focus, the fixed line is ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required