Hyperbola

Formulas are organized based on their importance in the CAT exam.
1 Vertices of a Translated Vertical Hyperbola
2 Tangent to a Translated Hyperbola
3 Normal to a Translated Hyperbola
4 Rectangular Hyperbola in Standard Form
5 Asymptotes of a Rectangular Hyperbola
6 Parametric Form of a Rectangular Hyperbola
7 Tangent to a Rectangular Hyperbola at a General Point
8 Polar of a Point with Respect to a Rectangular Hyperbola
9 Chord of Contact for a Rectangular Hyperbola
10 Diameter of a Rectangular Hyperbola
11 Asymptotes of a General Hyperbola
12 Midpoint of a Chord of a Rectangular Hyperbola
13 Conjugate Diameters of a Rectangular Hyperbola
14 Condition for a Conic to Be a Hyperbola
15 Normal to a Rectangular Hyperbola
16 Condition for a Rectangular Hyperbola in General Form
17 Equation of a Chord of a Rectangular Hyperbola
18 Rectangular Hyperbola Condition
19 Product of Distances from the Asymptotes
20 Distance of a Point from an Asymptote
21 Chord of Contact
22 Distance Between the Directrices
23 Tangent at a Vertex
24 Focal Parameter
25 Directrix-Focus Distance
26 Eccentricity from the Directrix Distance
27 Normal at a Vertex
28 Minimum Distance Between a Point and the Hyperbola
29 Hyperbola Through a Given Point
30 Tangent to a Rectangular Hyperbola
31 Tangent at a Point
32 Combined Equation of Asymptotes
33 Foci of a Translated Horizontal Hyperbola
34 Hyperbola from Its Asymptotes
35 Area of the Parallelogram Formed by Asymptotes
36 Semi-Latus Rectum
37 Standard Equation of a Hyperbola
38 Focal Distance in Terms of Eccentricity
39 Distance Between the Foci
40 Focal Property in Terms of the Two Branches
41 Asymptotes of a Translated Horizontal Hyperbola
42 Eccentricity of a Rectangular Hyperbola
43 Length of Conjugate Axis
44 Transverse Axis
45 Translated Rectangular Hyperbola
46 Slope of Tangent at a Parametric Point
47 Relation Between $$a$$, $$b$$ and $$c$$
48 Semi-Conjugate Axis in Terms of Eccentricity
49 Distance from a Co-vertex to Either Focus
50 Pair of Tangents to a Rectangular Hyperbola
51 Tangent at a Co-vertex Direction
52 Hyperbola Passing Through a Given Point with Known Eccentricity
53 Relation Between Asymptote Slopes
54 Angle Between the Asymptotes
55 Hyperbola from a Pair of Intersecting Asymptotes
56 Eccentricity of a Hyperbola
57 Important Property of Eccentricity
58 Foci of a Horizontal Hyperbola
59 Length of Transverse Axis
60 Standard Equation with Vertical Transverse Axis
61 Foci of a Vertical Hyperbola
62 Focal Property of a Hyperbola
63 Conjugate Axis
64 Asymptotes of a Vertical Hyperbola
65 Parametric Coordinates of a Hyperbola
66 Tangent at a Parametric Point
67 Normal at a Point
68 Condition for Perpendicular Tangents
69 Relation Between Eccentricity and Semi-Axes
70 Condition for Real Perpendicular Tangents
71 Tangent Using Hyperbolic Parameter
72 Asymptotes of a Hyperbola in Parametric Form
73 Asymptotes of a Horizontal Hyperbola
74 Focus-Directrix Property
75 Standard Rectangular Hyperbola
76 Directrices of a Vertical Hyperbola
77 Length of Latus Rectum
78 Endpoints of the Latus Rectum
79 Length of Transverse Axis
80 Vertices of a Translated Horizontal Hyperbola
81 Distance Between the Vertices
82 Foci of a Translated Vertical Hyperbola
83 Conjugate Hyperbola
84 Asymptotes of a Rectangular Hyperbola
85 Centre of a General Hyperbola
86 Vertices of a Vertical Hyperbola
87 Parametric Coordinates Using Hyperbolic Functions
88 Normal Using Hyperbolic Parameter
89 Length of Conjugate Axis
90 Director Circle
91 Directrices of a Horizontal Hyperbola
92 Eccentricity Definition (Hyperbola)
93 Parametric Equation (Hyperbola)
94 Pair of Tangents
95 Chord of Contact (Hyperbola)
96 Equation of a Translated Hyperbola
97 Normal to Hyperbola
98 Vertices of a Horizontal Hyperbola
99 Tangent in Slope Form
100 Director Circle (Hyperbola)
101 Pole of a Line
102 Chord Joining Two Parametric Points
103 Distance Between the Foci and a Vertex
104 Polar of a Point
105 Slope of Normal at a Parametric Point
106 Auxiliary Circle
107 Asymptotes of a Translated Vertical Hyperbola
108 Equation of a Translated Vertical Hyperbola
109 Other Latus Rectum
110 Condition for a Line to Be Tangent
111 Common Asymptotes of Conjugate Hyperbolas
112 Difference of Focal Distances
113 Normal at a Parametric Point