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IIT JEE Mathematics Preparation 2019

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Test schedule

9/30/2018
Test on
  • Physics

    U&D

  • Chemistry

    Periodic Properties (I)

  • Maths

    Basic Maths and Log

Take test
10/7/2018
Test on
  • Physics

    Vector & Calculas

  • Chemistry

    Atomic Structure (P), Nomenclature (O)

  • Maths

    Quardratic Equation

Take test
9/30/2018
Test on
  • Physics

    Geo-Optics (12th)

  • Chemistry

    Solid State (P), Co-ordination Compound (I)

  • Maths

    Function

Take test
10/7/2018
Test on
  • Physics

    Wave Optics (12th)

  • Chemistry

    Metallurgy (I), Liquid Solution (P)

  • Maths

    Limit, Inverse Trigo Function

Take test
9/30/2018
Test on
  • Physics

    U&D, Vector & Calculas, Kinematics (11th)

  • Chemistry

    Periodic Properties (I) , Atomic Structure (P) , Nomenclature (O)

  • Maths

    Basic Maths and Log, Quardratic Equation

Take test
10/7/2018
Test on
  • Physics

    Geo-Optics, Wave Optics (12th)

  • Chemistry

    Solid State (P) , Chemical Bonding (I)

  • Maths

    Trigonometric Ratio, Trigonometric Equation

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Your study schedule

13th Aug, 2018 - 18th Aug, 2018
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IIT-JEE Tests & Papers Solutions

IIT-JEE Mathematics Practice Test

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IIT-JEE Mathematics Formulas

IIT JEE Main Mathematics Formulae

PART-I


CALCULUS

  1. Definition :
    Function is defined as a rule or a manner or a mapping or a correspondence f which maps each & every element of a set A with a unique element of set B. It is denoted by
    : f : A  B or A begin mathsize 12px style rightwards arrow with straight f on top end style B.
  2. Domain, Co-domain and Range : If a function f is defined f : A → B set A is called the domain of function f and set B is called the co-domain of function f. The set of the f-images of the elements of A is called the Range of function f.
  3. Important Type of Functions :

    1. Trigonometric Functions :

    Function

    Domain

    Range

    sinx

    x ∊ R

    y ∊ [ 1,1]

    cos x

    x ∊ R

    y ∊ [ 1,1]

    tan x

    begin mathsize 12px style straight x element of straight R minus left curly bracket left parenthesis 2 straight n plus 1 right parenthesis straight pi over 2 right curly bracket end style 

    y ∊ R

    cot x

     begin mathsize 12px style straight x element of straight R minus left curly bracket nπ right curly bracket end style

    y ∊ R

    sec x

     begin mathsize 12px style straight x element of straight R minus left curly bracket left parenthesis 2 straight n plus 1 right parenthesis straight pi over 2 right curly bracket end style  begin mathsize 12px style straight y element of left parenthesis negative straight infinity comma negative 1 right square bracket union left square bracket 1 comma straight infinity right parenthesis end style

    cosec

     begin mathsize 12px style straight x element of straight R minus left curly bracket nπ right curly bracket end style  begin mathsize 12px style straight y element of left parenthesis negative straight infinity comma negative 1 right square bracket union left square bracket 1 comma straight infinity right parenthesis end style

    (2) Polynomial Function :
    f(x) = a0xn + a1xn–1 + a2xn–2 + ... + an
    Domain x ∊ R

    (3) Algebraic Function : A function is called an algebraic function if it can be constructed using algebraic operations. Function which are not algebraic are called as transcendental function.

    (4) Rational function :
    begin mathsize 12px style straight f left parenthesis straight x right parenthesis space equals fraction numerator straight g left parenthesis straight x right parenthesis over denominator straight h left parenthesis straight x right parenthesis end fraction space space space both space are space polynomial space and space straight h left parenthesis straight x right parenthesis space not equal to 0. end style

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