Students of class 11 Mathematics should refer to MCQ Questions Class 11 Mathematics Binomial Theorem with answers provided here which is an important chapter in Class 11 Mathematics NCERT textbook. These MCQ for Class 11 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 11 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 11 Mathematics examination

Chapter 8 Binomial Theorem MCQ with Answers Class 11 Mathematics

MCQ Questions Class 11 Mathematics Binomial Theorem with answers provided below have been prepared by expert teachers of grade 11. These objective questions with solutions are expected to come in the upcoming Standard 11 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question: The coefficient of x⁷ in the expansion of (1-x-x²+x³)⁶ )  is 
(a) -132
(b) -144
(c) 132
(d) 144

Question: The term independent of x in expansion of

(a) 4
(b) 120
(c) 210
(d) 310   

Question: The remainder left out when 8²ⁿ – (62)²ⁿ⁺¹ is divided by 9 is 
(a) 0
(b) 2
(c) 7
(d) 8 

Question: If n is a positive integer, then (√3+1)²ⁿ– (√3+1)²ⁿ-(√3-1)²ⁿ  is 
(a) an irrational number
(b) an odd positive integer
(c) an even positive integer
(d) a rational number other than positive integers 

Question: The sum of the series ²⁰C₀–²⁰C₁+²⁰C₂–²⁰C₃+…+²⁰C₁₀ is  
(a) ^-20 C ₁₀
(b) 1 /²⁰ C₁₀
(c) 0
(d) ₂₀ C₁₀ 

Question: For natural numbers m, n , if (1-y)^m(1+y)ⁿ=1+a₁y+a₂y²+… and a₁=a₂=10,then(m,n) is
(a) 35, 20
(b) 45, 35
(c) 35, 45
(d) 20, 65 

Question: 

(a) ⁵⁶ C₄
(b) ⁵⁶C ₃ 
(c) ⁵⁵C₃ 
(d) ⁵⁵C ₄   

Question: If the expansion in powers of x of the function

Question: If the coefficients of rth,( r + 1) th and( r +2)th terms in the binomial expansion of(1 +y) ^m are in AP, then m r and satisfy the equation
(a) m²– m(4r-1)+4r²+2=0 
(b) m²-m(4r+1)+4r²-2=0 
(c) m²-m(4r+1)+4r²+2=0
(d) m²-m(4r-1)+4r²-2=0 

Question: In the binomial expansion of (a-b )ⁿ ,n≤ 5, the sum of 5th and 6th terms is zero, then a /b is equal to
(a) 5/n-4
(b)6/n-5
(c) n-5/6
(d)n-4/5 

Question: 

Question: The coefficient of the middle term in the binomial expansion in powers of x of (1+αx) ⁴ and of(1-αx)⁶ is the same, if a is equal to 
(a) – 5 3
(b) 10 /3
(c) – 3/ 10
(d) 3 /5 

Question: if the coefficient of x⁷ in [ax²+1/bx]¹¹ equals to the coefficient of x^-7 in [ax-1/bx²],¹¹, then a b and satisfy the relation 
(a) a b =1
(b) a/b =1
(c) a +b =1
(d) a- b – =1 

Question: The number of integral terms in the expansion of

(a) 32
(b) 33
(c) 34
(d) 35

Question: The coefficient of xⁿ in  expansion of (1+x) (1-x)ⁿ  is 
(a) (n -1) 
(b) (-1)ⁿ(1-n) ) 
(c) (-1)ⁿ–¹(n-1)² 
(d) (-1)^n-1n 

Question: If x is positive, the first negative term in the expansion of (1+x)^27/5 is
(a) 7th term
(b) 5th term
(c) 8th term
(d) 6th term 

Question: The coefficient of xⁿ in expansion of (1+x) (1-x)ⁿ  is 
(a) (n -1) 
(b) (-1)ⁿ(1-n) ) 
(c) (-1)ⁿ–¹(n-1)² 
(d) (-1)^n-1n 

Question:  If |x| x < 1, then the coefficient of xⁿ in expansion of (1 +x+x²+x³+…)²   is
(a) n
(b) n -1
(c) n + 2
(d) n + 1 

Question: The coefficient of x⁵ in (1+2x+3x²+…)^-3/2  is
(a) 21
(b) 25
(c) 26
(d) None of these 

We hope the above MCQ Questions Class 11 Mathematics Binomial Theorem with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Binomial Theorem is an important chapter in Class 11 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of class 11 students. Please go through these and let us know if you have any feedback in the comments section