Hyperbola - Mathematics
- Basic definition
- Standard form
- Problems based on finding focus, directrix, vertex, latus rectum etc.
- Position of a point w.r.t. hyperbola
- Focal distance
- Equation of tangent
- Equation of normal
- Equation of chord of contact
- Equation of chord with midpoints
- Equation of pair of tangents
- Condition of a line to be tangent to parabola
- Geometrical properties
- Focal chord
- Point of intersection of tangents
- Point of intersection of normals
- Chord of contact
- Director circle
- Auxiliary circle
- Rectangular hyperbola
- Equation of tangent to rectangular hyperbola
- Equation of normal to rectangular hyperbola
- Point of intersection of rectangular hyperbola and a circle
- Asymptotes
- Basic properties of conjugate hyperbola of a hyperbola
- Co-normal points
- Intersection of a rectangular hyperbola with a circle
- Common tangent between hyperbola and circle
- Equation of asymptotes