Analytical Geometry for B.Sc. Semester II is a specialized textbook published by Kanha Publishing House, designed specifically for students of DDU Gorakhpur University and other major universities following the National Education Policy (NEP-2020).
About the Authors
This book is authored by a distinguished team of academic experts from renowned institutions:
Dr. K.B. Gupta: Associate Professor and Head, Dept. of Mathematics, St. Andrew’s P.G. College, Gorakhpur.
Dr. V. S. Chaubey: Assistant Professor and Head, Dept. of Mathematics, BRD P.G. College, Deoria.
Dr. Siddhi Kesarwani: Assistant Professor, Dept. of Mathematics, Buddha P.G. College, Kushinagar.
Dr. Kirti Kumar Jaiswal: Assistant Professor and Head, Dept. of Mathematics, D.V.N. P.G. College, Gorakhpur.
Shrikant Mani Tripathi: Assistant Professor, Dept. of Mathematics and Statistics, Maharana Pratap P.G. College Jungle Dhusan, Gorakhpur.
Content Summary
The book provides a deep dive into three-dimensional coordinate geometry. It covers the fundamental concepts of coordinates, planes, and straight lines, moving towards advanced topics like Spheres, Cones, Cylinders, and Central Conicoids. Every chapter is supported by illustrative examples and Multiple Choice Questions (MCQs) to help students excel in university examinations.
Detailed Contents
Unit I: Coordinates (Cartesian, Spherical, Polar, Cylindrical), Direction Cosines, and Projections.
Unit II: The Plane (General equations, Normal form, Angle between planes) and The Straight Line (Symmetrical forms, Shortest distance, Coplanar lines).
Unit III: The Sphere (Equations, Intersection, Tangent lines, Radical planes) and The Cone (Vertex at origin, Right circular cone, Enveloping cone).
Unit IV: The Cylinder (Equation of a cylinder, Right circular cylinder) and The Central Conicoids (The Ellipsoid, Hyperboloid of one and two sheets, Tangent planes).
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