Daily Practice Problem (DPP) Sheets for JEE Main Mathematics (Kota's formula to Success)

PREPARE ASSESS IMPROVE

Assessment is the most integral part of a student’s preparation but still most of them avoid it. Assessment can only tell where you stand and how you can improve from that point. So it is very important that you take the right assessment, which is on the correct pattern, has the same level of difficulty as the actual exam and covers all the important concepts of the subject.

Disha Publication launches a first of its kind product which changed the way coaching was conducted in KOTA - the hub of Engineering and Medical Entrance education in India.

The book “Daily Practice Problem (DPP) Sheets for JEE Main Mathematics” is precise, apt and tuned to all the requirements of a JEE Main aspirant.

No matter where you PREPARE from – a coaching or NCERT books or any other textbook/ Guide - Daily Practice Problem Sheets provides you the right ASSESSMENT on each topic. Your performance provides you the right cues to IMPROVE your concepts so as to perform better in the final examination.

It is to be noted here that these are not tests but act as a checklist of student’s learning and ability to apply concepts to different problems.

It is our strong belief that if an aspirant works hard on the cues provided through each of the DPP sheets he/ she can improve his/ her learning and finally the SCORE by at least 20%.

Key Differentiating Features of the DPP Sheets:

Division of the complete JEE Main Mathematics syllabus into 60 Most important Topics. Each chapter has been broken into 2 or more topics.

Time Limit, Maximum Marks, Cut-off, Qualifying Score for each DPP Sheet.

Ultimate tool for Concept Checking & Speed Building.

Collection of 1750+ Standardised MCQ’s that will of all variety of questions

Unique & innovative way of learning

Separate Booklet for Solutions.

Covers all important Concepts of each Topic

As per latest pattern & syllabus of JEE Main exam.

Compliant to all boards of education.

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 INEQUALITIES

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 TRIGONOMETRIC 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