NCERT MCQ CLASS-11 CHAPTER-8 | MATH NCERT MCQ | BINOMIAL THEOREM| EDUGROWN

In This Post we are  providing Chapter-8 Binomial Theorem NCERT MCQ for Class 11 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON BINOMIAL THEOREM

Question 1.
The coefficient of y in the expansion of (y² + c/y)⁵ is
(a) 10c
(b) 10c²
(c) 10c³
(d) None of these

Answer: (c) 10c³

Question 2:
(1.1)¹⁰⁰⁰⁰ is _____ 1000
(a) greater than
(b) less than
(c) equal to
(d) None of these

Answer: (a) greater than

Question 3.
The fourth term in the expansion (x – 2y)¹² is
(a) -1670 x⁹ × y³
(b) -7160 x⁹ × y³
(c) -1760 x⁹ × y³
(d) -1607 x⁹ × y³

Answer: (c) -1760 x⁹ × y³

Question 4.
If n is a positive integer, then (√3+1)²ⁿ⁺¹ + (√3−1)²ⁿ⁺¹ is
(a) an even positive integer
(b) a rational number
(c) an odd positive integer
(d) an irrational number

Answer: (d) an irrational number

Question 5.
If the third term in the binomial expansion of (1 + x)^m is (-1/8)x² then the rational value of m is
(a) 2
(b) 1/2
(c) 3
(d) 4

Answer: (b) 1/2

Question 6.
The greatest coefficient in the expansion of (1 + x)¹⁰ is
(a) 10!/(5!)
(b) 10!/(5!)²
(c) 10!/(5! × 4!)²
(d) 10!/(5! × 4!)

Answer: (b) 10!/(5!)²

Question 7.
The coefficient of xⁿ in the expansion of (1 – 2x + 3x² – 4x³ + ……..)^-n is
(a) (2n)!/n!
(b) (2n)!/(n!)²
(c) (2n)!/{2×(n!)²}
(d) None of these

Answer: (b) (2n)!/(n!)²

Question 8.
The value of n in the expansion of (a + b)ⁿ if the first three terms of the expansion are 729, 7290 and 30375, respectively is
(a) 2
(b) 4
(c) 6
(d) 8

Answer: (c) 6

Question 9.
If α and β are the roots of the equation x² – x + 1 = 0 then the value of α²⁰⁰⁹ + β²⁰⁰⁹ is
(a) 0
(b) 1
(c) -1
(d) 10

Answer: (b) 1

Question 10.
The general term of the expansion (a + b)ⁿ is
(a) T_r+1 = ⁿC_r × a^r × b^r
(b) T_r+1 = ⁿC_r × a^r × b^n-r
(c) T_r+1 = ⁿC_r × a^n-r × b^n-r
(d) T_r+1 = ⁿC_r × a^n-r × b^r

Answer: (d) T_r+1 = ⁿC_r × a^n-r × b^r

Question 11.
The coefficient of xⁿ in the expansion (1 + x + x² + …..)^-n is
(a) 1
(b) (-1)ⁿ
(c) n
(d) n+1

Answer: (b) (-1)ⁿ

Question 12.
If n is a positive integer, then (√5+1)²ⁿ + 1 − (√5−1)²ⁿ + 1 is
(a) an odd positive integer
(b) not an integer
(c) none of these
(d) an even positive integer

Answer: (b) not an integer

Question 13.
In the expansion of (a + b)ⁿ, if n is even then the middle term is
(a) (n/2 + 1)^th term
(b) (n/2)^th term
(c) n^th term
(d) (n/2 – 1)^th term

Answer: (a) (n/2 + 1)^th term

Question 14.
In the expansion of (a + b)ⁿ, if n is odd then the number of middle term is/are
(a) 0
(b) 1
(c) 2
(d) More than 2

Answer: (c) 2

Question 15.
if n is a positive integer then 2³ⁿn – 7n – 1 is divisible by
(a) 7
(b) 9
(c) 49
(d) 81

Answer: (c) 49

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