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