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.

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 Quadric 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.