# MCQs for Mathematics Class 11 with Answers Chapter 8 Binomial Theorem

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

B

Question: The term independent of x in expansion of

(a) 4
(b) 120
(c) 210
(d) 310

C

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

B

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

A

Question: The sum of the series 20C020C1+20C220C3+…+20C10 is
(a) -20 C 10
(b) 1 /20 C10
(c) 0
(d) 20 C10

B

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

C

Question:

(a) 56 C4
(b) 563
(c) 55C
(d) 554

A

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

C

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

B

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

D

Question:

B

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

C

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

A

Question: The number of integral terms in the expansion of

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

C

Question: The coefficient of xn in  expansion of (1+x) (1-x)n  is
(a) (n -1)
(b) (-1)n(1-n) )
(c) (-1)n1(n-1)2
(d) (-1)n-1

B

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

C

Question: The coefficient of xn in expansion of (1+x) (1-x)n  is
(a) (n -1)
(b) (-1)n(1-n) )
(c) (-1)n1(n-1)2
(d) (-1)n-1

B

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

D

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