SECTION-'C'
MATHEMATICS: 25 MARKS
Algebra : Arithmetic, Geometric and Harmonic Progressions, Permutation and Combination, Binomial expansion for positive index, middle term, greatest term, binomial expansion for general index. Determinants up to third order, their properties and application to solve linear algebraic equations (Cramer's rule), concept of a matrix, types of matrices, equality of matrices, operations of addition, scalar multiplication and multiplication of matrices, determinant of a square matrix, transpose, adjoint and inverse of a matrix, consistency and inconsistency of a system of linear equations, solving a system of linear equations in two or three variables using inverse of a matrix.
Trigonometry : Inverse trigonometric functions, solution of inverse trigonometric equations.
Coordinate Geometry(2D) : Points and their coordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, various forms of equations of a line, intersection of lines, angles between two lines, condition of concurrency of three lines distance of a point from a line, pair of lines, circle, tangents and normal to a circle, simple problems on parabola, ellipse and hyperbola.
Differential Calculus : Partial derivatives, maxima & minima of single & two variables, tangent and normal, curvature and derivative of arc.
Integral Calculus : Integration of rational and irrational functions, integration of transcendental functions, definite integration, area bounded by curves, length of arc and volume of surface revolution.
Differential equation : Differential eqs. Of first and second order of degree first & their applications.
Vector Calculus : Idea of gradient, divergence & curl, line integral, surface integral & volume integral.
Coordinate Geometry (3D) : Points and coordinates on 3-dimensional space, Distance between points, direction cosines, direction ratios, projections, equation to a plane, angle between planes, distance of a point from a plane, angle between lines & planes, condition of co planarity of two lines, shortest distance between two lines, condition for the intersection of two lines.
Probability : Problems on probabilities, conditional probability, Baye's Theorem, Binomial & Poisson distributions.
MATHEMATICS: 25 MARKS
Algebra : Arithmetic, Geometric and Harmonic Progressions, Permutation and Combination, Binomial expansion for positive index, middle term, greatest term, binomial expansion for general index. Determinants up to third order, their properties and application to solve linear algebraic equations (Cramer's rule), concept of a matrix, types of matrices, equality of matrices, operations of addition, scalar multiplication and multiplication of matrices, determinant of a square matrix, transpose, adjoint and inverse of a matrix, consistency and inconsistency of a system of linear equations, solving a system of linear equations in two or three variables using inverse of a matrix.
Trigonometry : Inverse trigonometric functions, solution of inverse trigonometric equations.
Coordinate Geometry(2D) : Points and their coordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, various forms of equations of a line, intersection of lines, angles between two lines, condition of concurrency of three lines distance of a point from a line, pair of lines, circle, tangents and normal to a circle, simple problems on parabola, ellipse and hyperbola.
Differential Calculus : Partial derivatives, maxima & minima of single & two variables, tangent and normal, curvature and derivative of arc.
Integral Calculus : Integration of rational and irrational functions, integration of transcendental functions, definite integration, area bounded by curves, length of arc and volume of surface revolution.
Differential equation : Differential eqs. Of first and second order of degree first & their applications.
Vector Calculus : Idea of gradient, divergence & curl, line integral, surface integral & volume integral.
Coordinate Geometry (3D) : Points and coordinates on 3-dimensional space, Distance between points, direction cosines, direction ratios, projections, equation to a plane, angle between planes, distance of a point from a plane, angle between lines & planes, condition of co planarity of two lines, shortest distance between two lines, condition for the intersection of two lines.
Probability : Problems on probabilities, conditional probability, Baye's Theorem, Binomial & Poisson distributions.
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