Two Dimensional Geometry: Points and vectors, projection of a vector, geometry of inner product, orthogonal projections, distances, geometry of linear transformation of rect-angular axes, orthogonal transformations, line in R2, general equation of second degree in two variables and its reduction into canonical forms, classification of conics, equations of tangent and normal.
Three Dimensional Geometry: Equations of planes and lines, angle between two inter-secting planes, distance of a point from a line, coplanarity of two lines; Sphere tangent, normal, circular section, Cone and cylinder, general equation of second degree in three vari-ables and its reduction to canonical forms, ellipsoid, hyperboloid, paraboloid, ruled surface.
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