BCA PART I semester-wise scheme: 2007-2008 ... - Vikram University

SEMESTER-IVBCA-401: COORDINATE GEOMETRY OF THREE DIMENSIONSMax Marks: 50OBJECTIVE : To introduce the concept of coordinate geometry of threedimensionEXAMINATIONThe question paper will have the usual note saying “Attempt five questionschoosing one from each Unit”, Thus, the paper will clearly specify Units,and have a pattern of two questions per unit, with an option to attempt anyone of these two within each unit.UNIT- IRectangular Cartesian of a point in space, Distance between two points,Cylindrical coordinates, Spherical Coordinates, direction cosines, point ofdivision, orthogonal projections, angle between straight lines. Examples andexercises.Shortest distance between the straight line. Line of greatest slope.Conditions for line intersection. Orthogonal projection of a plane area. Areaof triangle in space, volume of triangle in space. Examples and Exercises.UNIT- IISphere circle and related topics. Tangent lines and tangent planes to asphere, radial plane, radial line, coaxial spheres, limiting points. Examplesand Exercises.Surface and conicoid: transformation of axes. Invarient and DecrementingCube, centre, tangent planes, normal lines, principle directions, Diametricaland principle planes. Examples and Exercises.UNIT- IIIConicoid polar planes. Locus of chords. Pole with respect to conicoid.Examples and Exercises. Parabolic, definition and description, Elliptical andHyperbolic parabolic, Parabolic of revolution. Tangent planes and normal toa parabolic. Diametrical and Conjugate planes. Examples and Exercises.40