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 (

*x*_{1},*y*_{1}) 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 contactProperties of Hyperbola

Asymptoter and rectangular hyperbola—its equation and foci

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 ...

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