JEE Main Question Paper 2022 - The full name of JEE Main is Joint Entrance Examination, I give the exam in Inter class because for good college and that too for government college. Yes, the exam is conducted every year, the student who clears the mains then prepares for IIT college, it is called as jee advance, Jee advance get IIT government college and Jee mains NIT government college. To download JEE Main 2022 , 2021 , 2020, 2019 Question Paper { JEE Main Previous Papers , candidates need to login using Application Number and Password.
Jee Main Syllabus Details
1 Sets, Relations and Functions
Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relation, Types of relations, equivalence relations, functions, one-one, into and onto functions, composition of functions.
2 Complex Numbers and Quadratic Equations
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Armand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficient, nature of roots, formation of quadratic equations with given roots.
3 Matrices and Determinants
Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of deter minants, area of triangles using determinants. Adjoin and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
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4 Permutations and Combinations Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P(n,r) and C (n,r), simple applications.
5 Mathematical Induction
Principle of Mathematical Induction and its simple applications.
6 Binomial Theorem and its Simple Applications
Binomial theorem for a positive integral Index, general term and middle term, properties of Binomial coefficients and simple applications.
7 Sequences and Series
Asthmatic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers Relation between AM and GM, Sum upto n terms of special series: En En', En. Arithmetic Geometric progression.
8 Limit, Continuity and Differentiability
Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and different ability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential composite and implicit functions; derivatives of order up to two. Rolle's and Lagrange's Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
9 Integral Calculus
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type.
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