Text Book of Conic Section

A.K. Sharma

Verlag: Discovery Publishing House Pvt. Ltd., 2005
ISBN 10: 8183560008 / ISBN 13: 9788183560009
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Beschreibung:

There are number of Books on Conic Section JL in the market for the use of degree students in various universities in India. It is the experience of author that the average students need the treatment of theory in a way that should be easily comprehensible to him. Therefore an effort has been made in this Book to put the matter in a very lucid and simple way to that even a beginner has no difficulty in grasping the subject. Each chapter , for this book contains complete theory and a fairly Large number of solved examples sufficient problems have also been selected from various University Examination paper. At the end of each chapter an exercise containing objective questions only has been given. The answer to almost all unsolved problems have been checked and every care has been taken to avoid Printing and other mistakes. It is sincerely hoped that this book will satisfy the needs of the students and if it gives them even part of pleasure that the author had in its preparation he will consider his Labour amply rewarded. Contents, I. THE GENERAL EQUATION OF THE SECOND DEGREE : Conic Section, To Prove that the General Equation of the Second Degree Always Represents a Conic Section in General, Centre Definition, Centre of a Conic, Working Rule for Finding the Coordinates of the Centre of a Conic, Asymptotes, Nature of Conic, If (x, y,) are the Coordinates of the Centre of the Hyperbola, To Find the Equation of the Hyperbola Conjugate to (1), Eccentricity, Coordinates of the Foci and the Equation of the Directories of the Central Conic, Working Rule to Trace and Ellipse or a Hyperbola, Tracing of a Parabola II. POLAR EQUATION OF A CONIC : Conic Section, Polar Co-ordinates, To Find the Polar Equation of a Conic with its Latus Rectum of Length 2L, Eccentricity E and the Focus Being the Pole, To Find the Equation to the Directrix of the Conic, To Find the Polar Equation of a Conic with its Focus as the Pole and its Axis Inclined at an Angle a to the Initial Line, Chord Joining Any Two Points on the Conic, Tangent to the Conic at a Given Point, Asymptotes, Auxiliary Circle, To Find the Point of Intersection of the Two Tangents at the Points A and B on the Conic, Director Circle, Pair of Tangents, To Find the Asymptotes, Chord of Contact, Polar, Perpendicular Lines, Normal III. GENERAL CONIES, CONTACTS AND CONFOCALS : Equation of a Conic Section, Conic Through Five Points, Intersection of a Straight Line and a Conic, Tangent to the General Conic, Condition of Tangency, Director Circle of a Conic, Foci, Tangents from a Focus to a Conic, To Find the Foci of a Conic, Conjugate Lines, Chord with a Given Middle Point, Diameter, Conjugate Diameters, Find Condition that the two Straight Lines, Pair of Tangents, Axis of the Conic, Directrices of the Conic, Contact of Conies, The Equation of a Family of Conies Through the Points of Intersection of a Given Conic and two Straight Lines, Tangents from an External Point to a Conic Found by the Method of Double Contact, To Find the General Equation of the Conic Passing Through the Vertices of a Quadrilateral, Equation of a Conic Referred to Tangent and Normal as Coordinate Axes, Confocal Conies, To Find the Equation of Confocals to an Ellipse, Propositions on Confocals Conies Printed Pages: 200. Buchnummer des Verkäufers 59027

Bibliografische Details

Titel: Text Book of Conic Section
Verlag: Discovery Publishing House Pvt. Ltd.
Erscheinungsdatum: 2005
Einband: Hardcover
Zustand: New

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