# 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 x ^{7} in the expansion of (1-x-x^{2}+x^{3})^{6} ) is **

(a) -132

(b) -144

(c) 132

(d) 144

## Answer

B

**Question: The term independent of x in expansion of**

(a) 4

(b) 120

(c) 210

(d) 310

## Answer

C

**Question: The remainder left out when 8 ^{2n} – (62)^{2n+1} is divided by 9 is **

(a) 0

(b) 2

(c) 7

(d) 8

## Answer

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

## Answer

A

**Question: The sum of the series ^{20}C_{0}–^{20}C_{1}+^{20}C_{2}–^{20}C_{3}+…+^{20}C_{10} is **

(a)

^{-20}C

_{10}

(b) 1 /

^{20}C

_{10}

(c) 0

(d)

_{20}C

_{10 }

## Answer

B

**Question: For natural numbers m, n , if (1-y) ^{m}(1+y)^{n}=1+a_{1}y+a_{2}y^{2}+… and a_{1}=a_{2}=10,then(m,n) is**

(a) 35, 20

(b) 45, 35

(c) 35, 45

(d) 20, 65

## Answer

C

**Question: **

(a) ^{56} C_{4}

(b) ^{56}C _{3}

(c) ^{55}C_{3 }

(d)^{ 55}C _{4 }

## Answer

A

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

## Answer

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) m

^{2}– m(4r-1)+4r

^{2}+2=0

(b) m

^{2}-m(4r+1)+4r

^{2}-2=0

(c) m

^{2}-m(4r+1)+4r

^{2}+2=0

(d) m

^{2}-m(4r-1)+4r

^{2}-2=0

## Answer

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

## Answer

D

**Question:**

## Answer

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

## Answer

C

**Question: if the coefficient of x ^{7} in [ax^{2}+1/bx]^{11 }equals to the coefficient of x^{-7} in [ax-1/bx^{2}],^{11}, then a b and satisfy the relation **

(a) a b =1

(b) a/b =1

(c) a +b =1

(d) a- b – =1

## Answer

A

**Question: The number of integral terms in the expansion of**

(a) 32

(b) 33

(c) 34

(d) 35

## Answer

C

**Question: The coefficient of x ^{n} 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-1}n

## Answer

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

## Answer

C

**Question: The coefficient of x ^{n} 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-1}n

## Answer

B

**Question: If |x| x < 1, then the coefficient of x ^{n} in expansion of (1 +x+x^{2}+x^{3}+…)^{2} is **

(a) n

(b) n -1

(c) n + 2

(d) n + 1

## Answer

D

**Question: The coefficient of x ^{5} in (1+2x+3x^{2}+…)^{-3/2} is**

(a) 21

(b) 25

(c) 26

(d) None of these

## Answer

D

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