Polar equation of a Conic - Directrix – chord– Tangent and Normal– Equation of the Normal – simple problems (Chapter IX: Section 9 to 13)
Straight lines – Coplanarity of a straight lines – Shortest Distance and the Equation of Shortest distance between two lines – simple problems. (Chapter III : Section 1,2,3,4,7,8)
Standard equation of sphere – Result based on properties of the sphere – Equation of Circle on a Sphere – Equation of the Tangent Plane to a sphere. (Chapter V: Section 5.1, 5.2, 5.3, 5.4, 5.6, 5.7)
Cone whose vertex is at the origin , enveloping cone of a sphere- Right Circular cone – Equation of a Cylinder – Right Circular Cylinder –General Quadratic Cone.(Chapter VI: Section 6.1, 6.3, 6.4, 6.5, 6.6, 6.7)
Nature of a Conicoid – Standard equation of a central conicoid – Enveloping cone – Tangent Plane – Condition for Tangency – Director sphere and Director Plane. (Chapter VI: Section 6.9, 6.11, 6.12).
Reference Book:
1.CALCULUS Volumes I &II by S.Narayanan,T.K.Manickavasagampillai,Viswanathan publications,2004. 2. Solid Geometry by M.L.Khanna, Jai prakashnath&Co Publishers, Meerut, 2008. 3.Coordinate Geometry by P.R. Vittal,Margham publications ,2003. 4.Calculus&Analytic Geometry by G.B.Thomas&R.L.Finney,AddisonWesley,Mass(India print),1998
Text Book:
1. Analytical geometry -2D by T.K. ManickavachagamPillai&T.Natarajan, S.Viswanathan (Printers and Publishers),PVT.,LTD.2007. For UNIT I. (Chapter IX: Section 9 to 13) 2.Analytical geometry -3D by T.K. ManickavachagamPillai&T.Natarajan, S.Viswanathan (Printers and Publishers),PVT.,LTD.2000. For UNIT II. (Chapter III : Section 1,2,3,4,7,8) 3. Analytical geometry -3D by P.Duraipandian& Others Emerald Publishers Chennai -8, 2000 For UNIT III, IV & V. Chapter V: Section 5.1, 5.2, 5.3, 5.4, 5.6, 5.7 Chapter VI: Section 6.1, 6.3, 6.4, 6.5, 6.6, 6.7 Chapter VI: Section 6.9, 6.11, 6.12.
