Title: SOLID GEOMETRY (Code09050103)
B.Sc. Mathematics (Hons) – 1st semester
S.No. 
Topic

Domain

Hours as per UGC

1

 General equation of second degree
 Tracing of conics, Tangent at any point to the conic
 Chord of contact, pole of line to the conic
 System of conics, Confocal conics
 Polar equation of a conic
 Tangent and normal to the conic

Must know

14

2

 Sphere:Plane equation of a sphere
 Sphere through a given circle
 Intersection of two spheres
 Radical plane of two spheres, Coaxal system of spheres
 Cones, Right circular cone, enveloping cone and reciprocal cone
 Cylinder: Right circular cylinder and enveloping cylinder

Must know

15

3

 Central Conicoids: Equation of tangent plane
 Director sphere
 Normal to the conicoids
 Polar plane of a point
 Enveloping cone of a conicoid
 Enveloping cylinder of a conicoid

Must know

10

4

 Paraboloids: Circular section
 Plane sections of conicoids
 Generating lines
 Confocal conicoid
 Reduction of second degree equations

Nice to know

8

Books Recommended
1. R.J.T. Bill, Elementary Treatise on Coordinary Geometry of Three Dimensions,
MacMillan India Ltd. 1994.
2. P.K. Jain and Khalil Ahmad : A Textbook of Analytical Geometry of Three Dimensions,
Wiley Eastern Ltd. 1999.