Coordinate Geometry of Three Dimensions by SP Nigam and SS Gangwar is a comprehensive textbook designed for BA and BSc mathematics students of Indian universities. The book is prepared according to National Education Policy 2020 and is useful for semester exams and competitive preparation.
The book starts with basics of three dimensional coordinate systems including Cartesian coordinates, cylindrical coordinates and polar coordinates. It explains distance between two points, section formula and transformation of axes in simple language.
It provides detailed coverage of direction cosines, projection of lines, angle between lines and shortest distance between lines. The plane chapter includes general equation of plane, normal form, intercept form and plane through three points.
Advanced chapters cover straight line and plane relations, sphere equations, cone and cylinder equations, central conicoids, generating lines and second degree equations. The book also explains tangent planes, polar planes, diametral planes and reduction of second degree equations.
Objective questions are included for practice which helps students in university exams and entrance tests. The book is suitable for self study and classroom reference.
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