Two-dimensional
Geometry: Transformation
of coodinates, Pair of straight lines (homogeneous second degree equations,
general second degree equations representing pair of straight lines, angle
between pair of straight lines, bisectors of angle between pair of straight
lines), General equations of second degree (reduction to standard forms,
identifications, properties and tracing of conics).
Three-dimensional
Geometry: Coordinates,
Distance, Direction cosines and direction ratios, Planes (equation of plane,
angle between two planes, distance of a point from a plane), Straight lines
(equation of lines relationship between planes and lines, shortest distance)
Spheres.
Vector Analysis:
Vectors in
plane and space. Algebra of vectors. Rectangular Components. Scatar and Vector
products. Triple scalar product. Applications of vector to geometry (vector
equations of straight lines and planes, areas and volunes). The gradient,
divergence and curl of a vector function.
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