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Title: SOLID GEOMETRY (Code 09050103) | B.Sc. Mathematics (Hons) 1st semester

Title: SOLID GEOMETRY (Code-09050103)
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, Co-axal 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.

Admission 2017