Question Bank for JEE Main & Advanced Mathematics

Recent Question Banks

Critical Thinking
Complex Numbers and Quadratic Equations
De Moivre's theorem and Roots of unity
Complex Numbers and Quadratic Equations
Geometry of complex numbers
Complex Numbers and Quadratic Equations
Square root, Representation and Logarithm of complex numbers
Complex Numbers and Quadratic Equations
Conjugate, Modulus and Argument of complex number
Complex Numbers and Quadratic Equations
Integral power of iota, Algebraic operations and Equality of complex numbers
Complex Numbers and Quadratic Equations
Critical Thinking
Set Theory and Relations
Relations
Set Theory and Relations
Set theory
Set Theory and Relations
Critical Thinking
Binomial Theorem and Mathematical Induction
Mathematical induction and Divisibility problems
Binomial Theorem and Mathematical Induction
Multinomial theorem, Terms free from radical sign in the expansion(a1/p+b1/q), Problems regarding to three four consecutive terms or coefficients
Binomial Theorem and Mathematical Induction
Binomial theorem for any index
Binomial Theorem and Mathematical Induction
Properties of binomial coefficients
Binomial Theorem and Mathematical Induction
General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient
Binomial Theorem and Mathematical Induction
Expansion of binomial theorem
Binomial Theorem and Mathematical Induction
Critical Thinking
Other Series
nth term of special series, Sum to n terms and Infinite number of terms
Other Series
Harmonic Progression
Other Series
Arithmetico - Geometric Series, Method of difference
Geometric Progression
Relation between AP., GP. and HP.
Geometric Progression
Geometric Progression
Geometric Progression
Arithmetic Progression
Arithmetic Progressions
Critical Thinking
Quadratic Equations
Solution of quadratic inequations and Miscellaneous equations
Quadratic Equations
Condition for common roots, Quadratic expressions and Position of roots
Quadratic Equations
Relation between roots and coefficients
Quadratic Equations
Solution of quadratic equations and Nature of roots
Quadratic Equations
Critical Thinking Questions
Permutations and Combinations
Multinomial Theorem, Number of Divisors, Miscellaneous problems
Permutations and Combinations
Geometrical Problems
Permutations and Combinations
Definition of combinations, Conditional combinations, Division into groups, Derangements
Permutations and Combinations
Circular Permutations
Permutations and Combinations
Definition of permutation, Number of permutations with or without repetition, Conditional permutations
Permutations and Combinations
System of linear equations, Some special determinants, differentiation and integration of determinants
Determinants
Special types of matrices, Transpose, Adjoint and Inverse of matrices
Matrices
Types of matrices, Algebra of matrices
Matrices
Minors and Co-factors, Product of determinants
Matrices
Expansion of determinants, Solution of equation in the form of determinants and properties of determinants
Matrices
Critical Thinking
Other Series
Logarithmic series
Other Series
Exponential series
Other Series
Critical Thinking
Trigonometrical Ratios and Identities
Trigonometrical ratios of multiple and sub multiple angles
Trigonometrical Ratios and Identities
Trigonometrical ratios of sum and difference of two and three angles
Trigonometrical Ratios and Identities
Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles
Trigonometrical Ratios and Identities
Critical Thinking
Trigonometric Equations
Height and Distance
Trigonometric Equations
Circle connected with triangle
Trigonometric Equations
Relation between sides and angles, Solutions of triangles
Trigonometric Equations
Periodic functions
Trigonometric Equations
Solution of trigonometrical equations
Trigonometric Equations
Critical Thinking
Rectangular Cartesian Coordinates
Transformation of axes and Locus
Rectangular Cartesian Coordinates
Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity
Rectangular Cartesian Coordinates
Questions related to geometrical conditions
Rectangular Cartesian Coordinates
System of co-ordinates, Distance between two points, Section formulae
Rectangular Cartesian Coordinates
Critical Thinking
Inverse Trigonometric Functions
Inverse trigonometric functions
Inverse Trigonometric Functions
Critical Thinking
Straight Line
Problems related to triangle and quadrilateral Locus
Straight Line
Foot of perpendicular, Transformation, Pedal points Image of a point
Straight Line
Concurrency of three lines
Straight Line
Distance between two lines, Perpendicular distance of the line from a point Position of point w.r.t. line
Straight Line
Angle between two straight lines, Bisector of angle between two lines
Straight Line
Slope of line, Equation of line in different forms
Straight Line
Critical Thinking
Pair of Straight Lines
Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines
Pair of Straight Lines
Bisectors of the angle between the lines, Point of intersection of the lines
Pair of Straight Lines
Angle between the pair of straight lines, Condition for parallel and perpendicular lines
Pair of Straight Lines
Equation of Pair of Straight Lines
Pair of Straight Lines
System of circles
Circle and System of Circles
Chord of contact of tangent, Pole and Polar
Circle and System of Circles
Tangent and normal to a circle
Circle and System of Circles
Equations of circle, Geometrical problems regarding circle
Circle and System of Circles
Critical Thinking
Conic Section
Hyperbola
Conic Section
Ellipse
Conic Section
Parabola
Conic Section
Conic section - General
Conic Section
Critical Thinking
Linear Programming
Linear Programming
Linear Programming
Critical Thinking
Mathematical Logic and Boolean Algebra
Boolean Algebra
Mathematical Logic and Boolean Algebra
Mathematical Logic
Mathematical Logic and Boolean Algebra
Critical Thinking
Statistics
Measures of dispersion
Statistics
Relation between mean median and mode pie diagram
Statistics
Median and Mode
Statistics
Mean
Statistics
Critical Thinking
Binomial distribution
Probability
Conditional probability bayes theorem
Probability
Odds in favour and odds against Addition theorem on probability
Probability
Use of permutations and combinations in probability
Probability
Definition of probability
Probability
Definition of various terms
Probability
Critical Thinking
Differential Equations
Miscellaneous differential equations
Differential Equations
Application of differnetial equations
Differential Equations
Linear defferential equations
Differential Equations
Exact defferential equations
Differential Equations
Homogeneous differential equations
Differential Equations
Variable Separable type differential equations
Differential Equations
Formation of differential equations
Differential Equations
Order and degree of differential equations
Differential Equations
Critical Thinking
Definite Integrals
Area Bounded by Region, Volume and Surface Area of Solids of Revolution
Definite Integrals
Summation of series by Definite Integration, Gamma function, Leibnitz's rule
Definite Integrals
Properties of Definite Integration
Definite Integrals
Fundamental definite integration, Definite integration by substitution
Definite Integrals
Critical Thinking
Indefinite Integrals
Integration of Rational Function by Using Partial Fractions
Indefinite Integrals
Integration by Parts
Indefinite Integrals
Integration by Substitution
Indefinite Integrals
Fundamental Integration
Indefinite Integrals
Critical Thinking
Applications of Derivatives
Rolle's theorem Lagrange's mean value theorem
Applications of Derivatives
Increasing and Decreasing Function
Applications of Derivatives
Maxima and Minima
Applications of Derivatives
Tangent and Normal
Applications of Derivatives
Application in Mechanics and Rate Measurer
Applications of Derivatives
Partial Differentiation
Differentiation
Differentiation by Substitution
Differentiation
Differentiation of implicit function Parametric
Differentiation
Derivative at a point Standard Differentiation
Differentiation
Critical Thinking
Functions
Differentiability
Functions
Continuity
Functions
Limits
Functions
Functions
Functions
Critical Thinking
Three Dimensional Geometry
Sphere
Three Dimensional Geometry
Line and Plane
Three Dimensional Geometry
Plane
Three Dimensional Geometry
Line
Three Dimensional Geometry
System of Co-ordinates, Direction cosines and direction ratios, Projection
Three Dimensional Geometry
Critical Thinking
Vector Algebra
Application of vectors in three dimensional geometry
Vector Algebra
Vector triple product
Vector Algebra
Scalar triple product and their applications
Vector Algebra
Vector or Cross product of two vectors and its application
Vector Algebra
Scaler or Dot product of two vectors and its application
Vector Algebra
Modulus of vector Algebra of vectors
Vector Algebra

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