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JEE Mains Mathematics Binomial Theorem MCQ Papers with Solution 2019

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Mathematics BINOMIAL THEOREM Practice Sample Question Papers and  Problems on JEE Mains MCQ Level in Pdf format


 Subtopic

Binomial expansion Identifying terms independent of “x”
Ratio of two terms Middle term of binomial expansion
Binomial coefficients Sum of different combinations of binomial coefficients
Application of binomial expansion Problems on multinomial expansion

Download Mains Mathematics Problems on Binomial Theorem pdf. with Solution

(a)  JEE Mains Maths MCQ Binomial Theorem Problems Papers-01 Download here

       Solution of Binomial Theorem Paper-01 Download here


(b)  JEE Mains Mathematics MCQ Binomial Theorem Sample Papers Download here

       Solution of Binomial Theorem Papers-02 Download here


(c)  JEE Mains Binomial Theorem Paper -03 Download here

      JEE Mains Binomial Theorem Solution-03 Download here

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Complete Syllabus Sample Paper 01 (MAINS-MCQ Pattern) Download here

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JEE Mains Mathematics Chapter Wise MCQ Practice Paper (Click here)


 Importance of JEE Maths Binomial Theorem Problems

Mathematics subject is very interesting subject, even maximum students favorite subject is maths. But Mostely candidates are doing not well in Maths subject Board / Entrance Exam. because few maths chapters are numerical based theoretical based, and few IQ based thats why doing not well. For example Mathematics Matrices and Determinants chapter, After differential chapter reading, we want do all examples of differential chapter and NCERT, illustrations, practice paper, question paper, jee mains, practice problems, Sample papers, Model Test Paper, Solved Practice Sample Paper.


JEE Mains Binomial Theorem Formulas

  • Binomial Theorem. …
  • General Term in a expansion: …
  • Combinations or groups formula: …
  • Middle term in a expansion: …
  • Coefficient of xm in (axp + b / xq ) …
  • Independent Term of x in (axp + b / xq ) …
  • Greatest Coefficients:
  1. B.T.
    If n is a positive integer, then binomial theorem is
    (x+y)n = nc0.xn + nc1xn-1y + nc2xn-2y2 + nc3.xn-3y3 + ……. + ncrxn-ryr + …. + ncn.yn

  2. General Term in a binomial expansion:
    In the binomial expansion of (x+y)n, general term is denoted by Tr + 1 and it is
    Tr + 1 = ncr.xn – r.yr


  1. Combinations or groups formula:
    ncr= n!/[( n – r ) !].[r!]


  1. Middle term in a binomial expansion:
    In the binomial expansion of (x+y)n, middle term is T( n/2 + 1)if n is even, and T(n + 1)/2and T( n + 3)/2 , if n is odd.


  2. Binomial Coefficients in the binomial expansion (x+y)n

            nC0nC1nC2nC3,….. nCr… nCn are called Binomial Coefficients.


  1. Binomial Coefficient of xmin (axp+ b / xq )
    The value of r of the term which contains the coefficient of xm is 
    (np – m )/( p + q)


  2. Independent Term of x in (axp+ b / xq)
    The value of r of the term which does not contain x is 
    ( np ) / (p + q)


  1. Greatest Binomial Coefficients:
    In the binomial expansion of (x + y)n, the greatest binomial coefficient is 
    nc(n+1)/2 , nc( n + 3 )/2 , when n is an odd integer, and ncn/2 + 1) , when n is an even integer.


  1. Numerically Greatest term in the binomial expansion: (1 + x)n
    In the binomial expansion of (1 + x)n, the numerically greatest term is found by the following method: 
    If [( n + 1 ) | x | ] / [| x | + 1] = K + f,
    Where K is an integer and f is a positive proper fraction, then 
    ( K + 1)thterm is the numerically greatest fraction.
    And if [( n + 1 ) | x | ] / [| x | + 1] = K,
    Where K is an integer, then 
    Kth term and ( K + 1 )th terms are the two numerically greatest terms.


  1. In the binomial expansion of (x+y)n:
    1. Sum of the binomial coefficients is 2n
    nc0 + nc1 + nc2 + …………+ ncn = 2n
    2. Sum of the odd binomial coefficients is 2n – 1
    c1 + c3 + c5 + …………. = 2n – 1
    3. Sum of the even binomial coefficients is 2n – 1
    c0 + c2 + c4 + …….. = 2n – 1


  1. Number of terms in various expansions:
    No. of terms in the expansion of 
    1. ( x + y )nis n + 1
    2. ( x + y + z ) n is [( n + 1 ) ( n + 2 )]/2
    3. ( x + y + z + w) n = [ ( n + 1)(n + 2 ) ( n + 3 )]/ 1. 2.3


What are significant topics in maths for the JEE Mains and Importance of Maths Matrices and Determinants Chapter?

If you are talking about jee mains and advanced, so each and every topic are important. So Cover all the topic of NCERT Mathematics Class 10, 11, 12 glowing. You should have to have six to seven years question paper of jee mains and advanced both students so that you will get to know about the question level and paper pattern. 

Even maths is very important in our life, because its used to complete many different tasks daily, for examples in the bank, hospital, shops, pharmacists engineers, nurse, stock market, investment, IQ development,  use maths every days to perform their expert duty well. Maths makes our life orderly. Everyone require maths

Maximum students doing not well in mathematics subject Board / Entrance Exam. Maximum chapters are numerical based theoretical based, and few IQ based thats why doing not well. For example limit chapter, After differential chapter reading, we want do all examples of differential chapter and NCERT, illustrations,

Updated: October 16, 2018 — 3:37 pm
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