MCQ Questions for Class 11 Binomial Theorem with Answers

Please refer to the MCQ Questions for Class 11 Binomial Theorem Maths Chapter 8 with Answers. The following Binomial Theorem Class 11 Mathematics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 11. Our experts have designed MCQ Questions for Class 11 Binomial Theorem with Answers for all chapters in your NCERT Class 11 Mathematics book. You can access all MCQs for Class 11 Mathematics

Binomial Theorem Class 11 MCQ Questions with Answers

See below Binomial Theorem Class 11 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

Question. The coefficients of the expansions are arranged in an array. This array is called ………   
(a) Pascal’s Triangle
(b) Binomial Triangle
(c) Fibonacci Triangle
(d) Pingla Triangle

Question. The total number of terms in the expansion of (x + a)51 – (x – a)51 after simplification is   
(a) 102
(b) 25
(c) 26
(d) None of these

Question. The coefficient of x–7 in the expansion of [ax2 – 1/bx²]11 will be :     
(a) 462/ b⁵ .a⁶
(b) 462a² / b⁶
(c) 462a⁵ / b⁶
(d) -462a⁶ /b⁵

Question. The coefficient of x–12 in the expansion of (x+y/x3)²⁰ is     
(a) ²⁰C₈
(b) ²⁰C₈ y⁸
(c) ²⁰C₁₂
(d) ²⁰C₁₂ y12

Question. In the expansion of (x+2/x²)15 , the term independent of x is :   
(a) 15C6.26
(b) ¹⁵C₅.2⁵
(c) ¹⁵C₄.2⁴
(d) none of these

Question. How many terms are there in the expansion of (4x + 7y)10 + (4x – 7y)10 ?   
(a) 5
(b) 6
(c) 11
(d) 22

Question. After simplification, what is the number of terms in the expansion of [(3x + y)5]4 – [(3x–y)4]5?   
(a) 4
(b) 5
(c) 10
(d) 11

Question. What is the approximate value of (1.02)8 ?   
(a) 1.171
(b) 1.175
(c) 1.177
(d) 1.179

Question. What is the middle term in the expansion of (x√y /3 – 3/y√x)¹² ?     
(a) C(12, 7) x³ y^–3
(b) C(12, 6) x^–3 y³
(c) C(12, 7) x^–3 y³
(d) C(12, 6) x³ y^–3

Question. If x⁴ occurs in the rth term in the expansion of (x⁴ + 1/x³)15 , then what is the value of r ?     
(a) 4
(b) 8
(c) 9
(d) 10

Question. In the expansion of (3√x/3 – √3/x)10 , x > 0, the constant term is     
(a) –70
(b) 70
(c) 210
(d) –210

Question. In the binomial expansion of (a – b)n, n ³ 5 the sum of the 5th and 6th terms is zero. Then a/b equals :   
(a) n-5/6
(b) n-4/5
(c) 5/ n-4
(d) 6/n-5

Question. If the coefficients of x⁷ and x⁸ in (2+x/3)n are equal, then n is     
(a) 56
(b) 55
(c) 45
(d) 15

Question. The coefficient of the term independent of x in the expansion of  (√x/3 + 3/2x²)10 is     
(a) 5/4
(b) 7/4
(c) 9/4
(d) none of these

Question. If z = (√3/2 + i/2)5 +(√3/2 – i/2)5 , then     
(a) Re (z) = 0
(b) Im (z) = 0
(c) Re (z) > 0, I_m (z) > 0
(d) Re (z) > 0, I_m (z) < 0

Question. The term independent of x in the expansion of (2x+1/3×2)⁹   
(a) 2nd
(b) 3rd
(c) 4th
(d) 5th

Question. The term independent of x in the expansion of (9x-1/3√x2)18 , x > 0 , is ‘a’ times the corresponding binomial coefficient. Then ‘a’ is     
(a) 3
(b) 1/3
(c) –1/3
(d) None of these

Question. The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are   
(a) equal
(b) equal with opposite signs
(c) reciprocal of each other
(d) none of these

Question. If tr is the rth term in the expansion of (1+ x)101, then what is the ratio t₂₀ /t₁₉ equal to ?     
(a) 20x /19
(b) 83 x
(c) 19 x
(d) 83x /19

Question. The approximate value of (7.995)^1/3 correct to 4 decimal places is :     
(a) 1.9995
(b) 1.9996
(c) 1.9990
(d) 1.9991

Question. The middle term in the expansion of (1+1/x²)(1+x²)ⁿ is     
(a) ²ⁿCn x²ⁿ
(b) ²ⁿCn x^-2n
(c) ²ⁿCn
(d) ²ⁿC_n–1

Question. If the coefficients of 2nd, 3rd and the 4th terms in the expansion of (1 + x)n are in A.P., then value of n is 
(a) 3
(b) 7
(c) 11
(d) 14

Question. If in the binomial expansion of (1 + x)n where n is a natural number, the coefficients of the 5th, 6th and 7th terms are in A.P., then n is equal to:     
(a) 7 or 13
(b) 7 or 14
(c) 7 or 15
(d) 7 or 17

Question. The coefficient of the middle term in the expansion of (2 + 3x)⁴ is :     
(a) 6
(b) 5!
(c) 8!
(d) 216

Question. r and n are positive integers r > 1, n > 2 and coefficient of (r+2)th term and 3rth term in the expansion of (1 + x)²ⁿ are equal, then n equals     
(a) 3r
(b) 3r + 1
(c) 2r
(d) 2r + 1 

Question. If the 4th term in the binomial expansion of (p + 1)n is 5/2 then:     
(a) n = 8, p = 6
(b) n = 8, p = 1/2
(c) n = 6, p = 1/2
(d) n = 6, p = 6

Question. If the rth term in the expansion of (x/3 – 2/x²)¹⁰ contains x⁴, then r is equal to     
(a) 2
(b) 3
(c) 4
(d) 5

Question. If the coefficient of (2r + 4)th term and (r – 2)^th term in the expansion of (1 + x)¹⁸ are equal, then r is equal to:     
(a) 6
(b) 5
(c) 4
(d) 2

Question. If the middle term of (1/x + xsinx) 10 is equal to 7. 7/8 , then value of x is     
(a) 2nΠ + Π/6
(b) nΠ + Π/6
(c) nΠ + (-1)ⁿΠ/6
(d) nΠ

Question. What are the values of k if the term independent of x in the expansion of (√x + k/x²)¹⁰ is 405?     
(a) ± 3
(b) ± 6
(c) ± 5
(d) ± 4

Question. What is the coefficient of x³ y⁴ in (2x + 3y²)5 ?     
(a) 240
(b) 360
(c) 720
(d) 1080