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JEE Main Downloads

1. Fucntions, LImits, Continuity and Differentiability
  • 1. LIMITS
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  • 2. DIFFERENTIABILITY
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  • 3. CONTINUITY
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  • 4. Answers Soultions
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  • 5. FUCTIONS
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2. Indefinite Integral
  • 1. INTERGRATION BY PARTS, INTEGRAL OF THE FORM
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  • 2. INTERGRATION OF RATIONAL FUNCTION BY USING PARTIAL FRACTION, EVALUTION OF VARIOUS FORMS OF INTERGRATION
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  • 3. Answers Solution
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  • 4. INTERGRATION BY SUBSTITUTION
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3. Definite Intergral and Area Under Curves
  • 1. Properties of definite integration
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  • 2. Area bounded by region, Volume and surface area of solids of revolution
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  • 3. Answers Solution
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  • 4. FUNDAMENTAL DEFINITE INTEGRAL, DEFINITE INTEGRAL BY SUBSTITUTIONS
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4. Differential Equations
  • 1. VARIABLE SEPARBLE TYPE DIFFERENTIAL EQUATIONS
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  • 2. HOMOGENEOUS DIFFERENTIAL EQUATIONS
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  • 3. LINEAR DIFFERENTIAL EQUATIONS
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  • 4. APPLICATION OF DIFFERENTIAL EQUATIONS
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  • 5. Exact differential equations
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  • 6. Formation of differential equations
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  • 7. Miscellaneous differential equations
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  • 8. Answers Solution
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  • 9. ORDER AND DEGREE OF DIFFERENTIAL EQUATIONS
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5. Vector Algebra
  • 1. SCALAR OR DOT PRODUCT OF TWO VECTORS AND ITS APPLICATIONS
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  • 2. VECTOR OR CROSS PRODUCT OF TWO VECTORS AND ITS APPLICATIONS
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  • 3. SCALR TRIPLE PRODUCT AND THEIR APPLICATION
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  • 4. VECTOR TRIPLE PRODUCT
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  • 5. Application of vectors in three dimensional geometry
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  • 6. Answers Solution
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  • 7. MODULUS OF VECTOR, ALGEBRA OF VECTORS
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6. Co-ordinate Geometry of Three Dimensons
  • 1. LINE
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  • 2. PLANE
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  • 3. LINE AND PLANE
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  • 4. Answers Solutions
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  • 5. SYSTEM OF CO-ORDIANTES, DIRECTION COSINES AND DIRECTION RATIOS, PROJECTION
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7. Probability
  • 1. ODDS IN FAVOUR AND ODDS AGAINST, ADDITION, THEOREM NO PROBABILITY
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  • 2. BINOMIAL DISTRIBUTION
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  • 3. Definition of various terms
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  • 4. Use of permutations and combinatons in probability
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  • 5. Answers solution
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  • 6. DEFINATION OF PROBABILITY
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8. Measures of Central Tendency and Dispersion
  • 1. MEASURE OF DISPERSION
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  • 2. Answers Solution
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  • 3. MEDIAN AND MODE
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9. Set Theory and Relations
  • 1. Relations
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  • 2. Answers Solution
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  • 3. Set theory
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10. Binomial Theorem and Mathematical Induction
  • 1. Properties of binomial coefficients
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  • 2. Binomial theorem for any index
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  • 3. Answers Solution
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  • 4. General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient
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11. Permutations and Combinations
  • 1. Geometrical problems
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  • 2. Definition of combination, Conditional combinations, Division into groups, Derangements
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  • 3. Circular permutations
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  • 4. Magnet and It’s Properties
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  • 5. Answers solutions
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  • 6. Multinomial theorem, Number of divisors, Miscellaneous problems
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12. Dynamics
  • 1. Relative velocity
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  • 2. Rectilinear motion with acceleration
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  • 3. Motion under gravity
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  • 4. Laws of motion, Apparent weight of a body on lift
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  • 5. Motion of two particles connected by a string
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  • 6. Impact of elastic bodies
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  • 7. Projectile motion
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  • 8. Work, Power and Energy
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  • 9. Answers Solutions
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  • 10. Velocity and acceleration, Resultant and component of velocities
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13. Conic Sections
  • 1. Hyperbola
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  • 2. Answers Solution
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  • 3. Ellipse
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14. Conic Sections
  • 1. Hyperbola
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  • 2. Answers Solution
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  • 3. Ellipse
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15. Rectangular Cartesian Co-ordinates
  • 1. Points related to triangle (Orthocente, Circumcentre, Incentre), Area of some geometrical figures, Collinearity
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  • 2. Transformation of axes and Locus
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  • 3. Answers Solution
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  • 4. Questions related to geometrical conditions
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16. Straight Line
  • 1. Distance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line
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  • 2. Concurrency of three lines
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  • 3. Foot of perpendicular, Transformation, Pedal points, Image of a point
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  • 4. Problems related to triangle and quadrilateral, Locus
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  • 5. Answers Solution
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  • 6. Angle between two straight lines, Bisector of angle between two lines
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17. Circle and System of Circles
  • 1. Tangent and normal to a circle
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  • 2. Chord of contact of tangent, Pole and Polar
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  • 3. System of circles
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  • 4. Answers Solution
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  • 5. Equations of circle, Geometrical problems regarding circle
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18. Differentiation and Applications of Derivatives
  • 1. Differentiation of implict function, Parametric and Composite functions, Logarithmic differentiation, Differentiation of infinite series
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  • 2. Differentiation by substitution, Higher order derivatives
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  • 3. Partial differentiation
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  • 4. Application in mechanics and rate measurer
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  • 5. Tangent and Normal
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  • 6. Maxima and Minima
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  • 7. Increasing and Decreasing function
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  • 8. Answers Solution
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  • 9. Derivative at a point, Standard differentiation
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19. Progressions
  • 1. Arithmetic geometric progression, Method of difference
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  • 2. nth term of special series, Sum to n terms and Infinite number of terms
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  • 3. Answers Solution
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  • 4. Relation between A.P., G.P. and H.P.
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20. Trigonometrical Equations and Inequations, Properties of Triangles, Height and Distance
  • 1. Relation between sides and angles, Solutions of triangles
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  • 2. Circle connected with triangle
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  • 3. Height and Distance
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  • 4. Answers Solution
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  • 5. Periodic functions
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21. Trigonometrical Ratios, Functions and Identities
  • 1. Trigonometrical ratios of multiple and sub-multiple angles
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  • 2. Maximum & minimum values of trigonometrical functions, Conditional trigonometrical identities
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  • 3. Answers Solution
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  • 4. Trigonometrical ratios of sum and difference of two and three angles
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22. Pair of Straight Lines
  • 1. Bisectors of the angle between the lines, Point of intersection of the lines
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  • 2. Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines
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  • 3. Answers Solution
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  • 4. Angle between the pair of straight lines, Condition for parallel and perpendicular lines
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23. Statics
  • 1. Parallel forces, Moment and Couples
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  • 2. Equilibrium of co-planar forces
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  • 3. Friction
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  • 4. Centre of gravity
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  • 5. Answers Solution
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  • 6. Composition and resolution of forces and condition of equilibrium of forces
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24. Quadratic Equations and Inequations
  • 1. Relation between roots and coefficients
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  • 2. Condition for common roots, Quadratic expressions and Position of roots
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  • 3. Solution of quadratic inequations and Miscellaneous equations
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  • 4. Answers Solution
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  • 5. Solution of quadratic equations and Nature of roots
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