Mathematics Test

May 19th, 2015
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1. 65% of 480 =? % of 75 (a) 40.4 (b) 41.6 (c) 46 (d) 42.5 (e) None of these 2. 15% of the total number of students in a college play football. Haw many students do not play football, if the total number of students in the college is 6500? (a) 97 (b) 5525 (c) 910 (d) 5590 (e) None of these

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181101MATHEMATICS I 3 1 0 4UNIT I MATRICES 12Characteristic equation Eigen values and eigen vectors of a real matrix Properties Cayley-Hamilton theorem (excluding proof) Orthogonal transformation of a symmetric matrix to diagonal form Quadratic form Reduction of quadratic form to canonical form by orthogonal transformation.UNIT II THREE DIMENSIONAL ANALYTICAL GEOMETRY 12Equation of a sphere Plane section of a sphere Tangent Plane Equation of a cone Right circular cone Equation of a cylinder Right circular cylinder.UNIT III DIFFERENTIAL CALCULUS 12Curvature in Cartesian co-ordinates Centre and radius of curvature Circle of curvature Evolutes Envelopes Evolute as envelope of normals.UNIT IV FUNCTIONS OF SEVERAL VARIABLES 12Partial derivatives Eulers theorem for homo

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