About the Book
Contents: Preliminary Definitions | Equation Given Intercepts, Perpendicular, Inclination, Tangent, Normal, Intercept Forms of Straight Lines, Angle Between Lines, Length of Perpendicular, Angle Bisectors, Concurrency of Three Straight Lines | Homogeneous Equations, Finding Angle and Bisectors of ax2 + 2hxy + by2 = 0, Relation Between Roots | Change of Origin, Axes, Oblique Axes, Length of Perpendicular, Change from Polar to Cartesian Coordinates, Area of a Triangle in Polar Coordinates Equation of a Circle, Intersection of a Line and Circle, Tangent, Normal to a Circle, Length of a Tangent, Chord of Contact, Pair of Tangents from a Point Angle of Intersection, Radical Axis of Two Circles, Coaxal Circles, Circles Cutting Others Orthogonally, Common Tangents to Two Circles, Equation of a Circle in Oblique, Polar Coordinates | Parabola – Equation, Latus Rectum, Tangent, Normal, Theorems on the Parabola, Chord of Contact, Diameter of a Parabola, Oblique Axes, Co-normal Points, Envelopes Ellipse – Equation, Foci, Latus Rectum, Tangent, Polar, Normal, Auxiliary Circle, Eccentric Angle, Theorems on the Ellipse, Conjugate Diameters and Properties, Director Circle, Chord of Contact, Concyclic, Co-normal Points of an Ellipse, Concurrent Normals Hyperbola – Equation, Vertices, Latus Rectum, Tangent, Polar, Normal, Relation between Focal Distances, Conjugate Diameters and Properties, Asymptotes, Conjugate Hyperbola Polar Equations of a Conic, Directrix, Tangent, Polar, Normal | General Equation of the Second Degree – Centre, Discriminant Form, Asymptotes, Axes, Eccentricity, Foci, Directrices, Tracing of Conics, Tangent to the General Conic, Conjugate Diameters, Contact of Conics, Confocal Conics and Theorems
