ACME BOOK CHAPTER WISE
The NIMCET Mathematics syllabus includes several key topics:
- Set Theory: Concepts of sets, union, intersection, cardinality, elementary counting, permutations, and combinations.
- Probability and Statistics: Basic concepts of probability theory, averages, dependent and independent events, frequency distributions, measures of central tendencies, and dispersions.
- Algebra: Fundamental operations in algebra, expansions, factorization, simultaneous linear and quadratic equations, indices, logarithms, arithmetic, geometric, and harmonic progressions, determinants, and matrices.
- Coordinate Geometry: Rectangular Cartesian coordinates, distance formulae, equation of a line, intersection of lines, pair of straight lines, equations of a circle, parabola, ellipse, and hyperbola.
- Calculus: Limit of functions, continuous function, differentiation of functions, tangents and normals, simple examples of maxima and minima, integration of functions by parts, by substitution, and by partial fraction, definite integrals, and applications of definite integrals to areas.
- Vectors: Position vector, addition and subtraction of vectors, scalar and vector products, and their applications to simple geometrical problems and mechanics.
- Trigonometry: Simple identities, trigonometric equations, properties of triangles, solution of triangles, heights and distances, and general solutions of trigonometric equations.
Basic to advanced Question and Answer (Number of Questions 150+)
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