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Entrance Exams Preparational
Table of Contents DPP 1. Sets
DPP 2. Relations & functions-1 : Domain, Co-domain, Range, Classification of Function, Value of the Function
DPP 3. Trigonometric functions-1 : System of Measurement of angle, Trigonometrical ratios, Trigonometrical Ratio of Allied Angles, Sum & Difference formulae, Formulae for sum or difference into product conversion
DPP 4. Trigonometric functions-2 : Conditional trigonometrical identities, Series
DPP 5. Trigonometric Equations
DPP 6. Mathematical Induction
DPP 7. Complex Number-1 : Imaginary Number, Representation of a complex Number in Argand diagram, Algebraic operations with Complex Number, Conjugate of Complex Number, Modulus of a Complex Number.
DPP 8. Complex Number-2 : Argument of a Complex Number, Amplitude of a Complex Number, Square root of a Complex Number, Equation solutions
DPP 9. Quadratic Equations-1 : Solution of Quadratic Equation, Nature of Roots, Sum and product of roots, Formation of an equation given roots, Condition for common roots
DPP 10. Quadratic Equations-2 : Nature of the factors of the Quadratic expression, Sign of the Quadratic expression, Quadratic expression in two variables
DPP 11. Linear In Equalities
DPP 12. Permutations & Combinations-1 : Fundamental principle of Multiplication, Addition, Combinations, Permutations, Permutations in which all things are not different, Permutations in which things may be repeated, Restricted Permutations, Permutation of numbers when given digits include zero
DPP 13. Permutations & Combinations-2 : Fundamental principle of Multiplication, Addition, Combinations, Permutations, in which all things are not different Permutations in which things may be repeated restricted permutations, Permutation of numbers when given digits include zero.
DPP 14. Binomial theorem-1 : Binomial theorem for positive integral index, middle term, particluar term in the expansion, find a term from the end
DPP 15. Binomial Theorem-2 : Expansion for any index, Application of Binomial theorem
DPP 16. Sequence and Series-1 : Arithmetic progression and Geometric progression
DPP 17. Sequence and Series-2 : Arithmetico - Geometric progression, Harmonical progression
DPP 18. Straight Line-1: Different Forms of The Equation of Straight Line, Reduction of General Form of Equations into Standard Forms, Position of a Point Relative to a Line, Angle Between two Straight Lines.
DPP 19. Straight Line-2 : Equation of parallel and perpendicular lines, Equation of straight lines through a point and making angle with y = mx + c, Length of perpendicular, condition of Concurrency, Bisector of angle between two straight lines passing through the point of intersection of two lines, Homogeneous equation, General equation of second degree, Equation of lines joining the intersection points of line and curve to the origin.
DPP 20. Circle-1: Standard forms of equation of a circle, equation of a circle in some special cases, position of a point with respect to a circle, line and circle
DPP 21. Circle- 2 : Equation of tangent and normal, chord of contact, Director circle, position of two circles, equation of a chord, circle through the points of intersection, angle of intersection of two circles, common chord of two circles, pole and polar, radical axis and radical centre.
DPP 22. Parabola
DPP 23. Ellipse
DPP 24. Hyperbola
DPP 25. Properties of Triangles
DPP 26. Height and Distances
DPP 27. 3D-Geometry-1 : Distance Formula, Section Formula.
DPP 28. Limits
DPP 29. Derivative-1: Derivative of sum, difference, product and quotient of functions, derivative of polynomial and trigonometric functions.
DPP 30. Statistics-1 : Measures of Central Tendency
DPP 31. Statistics-2 : Measures of Dispersion
DPP 32. Probability-1: Mathematical Definition of probability, Odds for an event, mutually exclusive events, theorem of probability.
DPP 33. Mathematical Reasoning
DPP 34. Relations & Functions-2 : Types of relations, Types of functions, Composition of functions, Inverse functions, Binary operations
DPP 35. Inverse Trignometric Functions
DPP 36. Matrices - 1 : Types of Matrices, Algebra of Matrices
DPP 37. Matrices - 2 : Special type matrices; Transpose, Adjoint and Inverse of matrices; Rank of Matrices and solution of the equations using matrix.
DPP 38. Determinants
DPP 39. Continuity and Differentiability
DPP 40. Exponential & Logarithmic Series
DPP 41. Derivative-2 : Differentiation of implicit function, parametric functions, logarithmic differentiation. Differentiation of infinite series
DPP 42. Derivative-3 : Differentiation by substitution
DPP 43. Derivative-4 : Higher order derivative
DPP 44. Applications of Derivatives - 1 : Rate measure, tangent and norma)
DPP 45. Applications of Derivatives - 2 : Maxima and Minima
DPP 46. Applications of Derivatives-3 : Increasing and decreasing, Rolle's Theorem, Lagrange's Mean Value Theorem
DPP 47. Indefinite Integral - 1 : Fundamental Integration, Integration by Substitution
DPP 48. Indefinite integral - 2 : Integration by parts, Integral of the form Integral of the form
DPP 49. Indefinite Integral-3 : Integration of rational function by using partial fractions, Evaluation of various forms of integration
DPP 50. Definite integral - 1 : Fundamental Definite Integration, Definite Integration by Substitution
DPP 51. Definite integral - 2 : Properties of Definite Integration, Miscellaneous Integration
DPP 52. Application of Integrals : Area bounded by region
DPP 53. Differential Equations-1 : Order and degree of differential equations, formation of differential equations, variable separable type differential equations
DPP 54. Differential Equations - 2 : Homogeneous differential equations. Exact differential equations, Linear differential equations. Application of differential equations, Miscellaneous differential equations.
DPP 55. Vector Algebra -1 : Modulus of vector, Algebra of vectors, Scalar product of two vectors and its applications, Vector product of two vectors and its applications
DPP 56. Vector Algebra-2 : Scalar triple product and their applications, Vector triple product
DPP 57. 3D Geometry 2 : Direction cosines and direction ratios, Projection, Line
DPP 58. 3D - Geometry 3 : Plane, Line and Plane, Sphere
DPP 59. Probability-2 : Probability, odds in favour and odds against' addition, Theorem on conditional probability, Baye's theorem
DPP 60. Probability - 3 : Probability distribution, Bernouli Trials and Binomial distribution