WBJEE: Important Questions and Preparation Tips – Binomial Theorem

In this article you will get chapter notes of Binomial Theorem including important concepts, formulae and previous year solved questions for WBJEE Entrance Examination 2018.

Binomial Theorem is one of the important chapters in the syllabus of WBJEE entrance examinations. About 2-3 questions are being asked from this chapter in WBJEE examination.

After the detailed analysis of the latest syllabus of Mathematics and the previous year papers of WBJEE Examination, the Subject Experts of Jaranjosh bring complete chapter notes of chapter Binomial Theorem including all important topics of chapter Binomial Theorem like binomial theorem, formula for general term in binomial expansion, formula for middle term in binomial expansion, binomial formula of some expansions etc.

About the exam:

West Bengal Joint Entrance Examination (WBJEE) is a state level common entrance test organized by West Bengal Joint Entrance Examinations Board for admission to the Undergraduate Level Engineering and Medical Courses through a common entrance test in the State of West Bengal.

Important Questions and Preparation Tips – Permutation and Combination

Important Concepts:

Important Questions and Preparation Tips – Sequence and Series

Some previous years solved questions are given below:

Question 1:

Solution 1:

(1+x)ⁿ = C₀ + C₁x + C₂x² + ---------+C_nxⁿ ,

(x+1)ⁿ = C₀xⁿ + C₁x^n–1+C₂x^n–2 + ------+C_n

So, coefficient of xⁿ in [(1+x)ⁿ × (x+1)ⁿ] i.e. (1+x)²ⁿ is ( C₀² +C₁²+ -------+C_n²), which is ²ⁿC_n

Hence, the correct option is (D).

Question 2:

Solution 2:

Hence, the correct option is (b).

Important Questions and Preparation Tips - Complex Numbers

Question 3:

Solution 3:

Hence, the correct option is (a).

Important Questions and Preparation Tips - Matrices and Determinants

Question 4:

(a) 90

(b) 88

(c) 94

(c) 95

Solution 4:

We have the binomial expression,

Except, r = 0, 15, 30, 45, 60, 75, 90 each term will give irrational terms.

So, there are 7 rational terms

Total number of terms in the given binomial expression = 101

No. of irrational terms

= 101 – 7 = 94

Hence, the correct option is (c).

Important Questions and Preparation Tips – Relations and Functions

Question 5:

Solution 5:

Hence, the correct option is (A).

JEE MAIN-2017 Frequently Asked Questions (FAQs)

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