Class 11 Maths mcqs Chapter 8, Binomial Theorem, MCQs are provided here to help students score well in their 2024-25 board exams. These multiple-choice questions are based on the CBSE syllabus and follow the latest CBSE guidelines. The binomial theorem is an important topic in mathematics, and understanding it will not only prepare you for board exams but also for other competitive exams. Practicing these MCQs is a simple and effective way to revise and strengthen your knowledge at any time.
MCQs on Class 11 Maths Chapter 8 Binomial Theorem
1. The general term in the binomial expansion of (x + y)n is:
- (a) Tr =
C(n, r) xr yn-r - (b) Tr =
C(n, r) xn-r yr - (c) Tr =
C(n, r) xn yr - (d) None of these
Answer: (b)
2. In the expansion of (1 + x)6, the coefficient of x3 is:
- (a) 10
- (b) 20
- (c) 15
- (d) 25
Answer: (c)
3. The sum of the coefficients in the expansion of (x + y)n is:
- (a) n
- (b)
2n - (c) n2
- (d) n!
Answer: (b)
4. The number of terms in the expansion of (a + b)n is:
- (a) n + 1
- (b) n – 1
- (c) 2n
- (d) n2
Answer: (a)
5. The coefficient of the middle term in (1 + x)4 is:
- (a) 6
- (b) 4
- (c) 3
- (d) 5
Answer: (a)
6. In the expansion of (x + y)n, the value of C(n, 0) + C(n, 1) + ... + C(n, n) is equal to:
- (a) n
- (b)
2n - (c) n2
- (d) n!
Answer: (b)
7. The term independent of x in the expansion of (x + 1/x)6 is:
- (a) 10
- (b) 15
- (c) 20
- (d) 25
Answer: (c)
8. The value of C(6, 2) is:
- (a) 12
- (b) 15
- (c) 20
- (d) 10
Answer: (c)
9. In the expansion of (2 + 3x)4, the coefficient of x2 is:
- (a) 54
- (b) 108
- (c) 81
- (d) 72
Answer: (b)
10. The binomial coefficient C(n, r) is given by:
- (a)
n! / (r! (n - r)!) - (b)
r! / (n! (n - r)!) - (c)
(n - r)! / (r! n!) - (d) None of these
Answer: (a)
11. In the expansion of (a + b)n, the coefficients are:
- (a) Symmetrical
- (b) Increasing
- (c) Decreasing
- (d) None of these
Answer: (a)
12. The coefficient of x0 in the expansion of (2x + 3)5 is:
- (a) 243
- (b) 81
- (c) 125
- (d) 1
Answer: (a)
13. The expansion of (1 + x)n is valid when:
- (a) n is a natural number
- (b) n is a real number
- (c) x > 1
- (d) x < 1
Answer: (a)
14. If n = 5, the value of C(n, 3) is:
- (a) 10
- (b) 20
- (c) 15
- (d) 5
Answer: (c)
15. The constant term in the expansion of (x2 + 1/x)5 is:
- (a) 10
- (b) 20
- (c) 30
- (d) None of these
Answer: (a)
16. In the binomial expansion of (a + b)n, if n = 3, the total number of terms is:
- (a) 3
- (b) 4
- (c) 5
- (d) 6
Answer: (b)
17. The coefficient of x5 in (1 + x)10 is:
- (a) 100
- (b) 252
- (c) 210
- (d) 120
Answer: (b)
18. The binomial expansion of (x - 2)3 is:
- (a)
x3 - 6x2 + 12x - 8 - (b)
x3 + 6x2 - 12x + 8 - (c)
x3 - 6x2 - 12x + 8 - (d) None of these
Answer: (a)
19. The expansion of (1 - x)n is valid for:
- (a) |x| < 1
- (b) |x| > 1
- (c) |x| = 1
- (d) None of these
Answer: (a)
20. The middle term in the expansion of (1 + x)8 is:
- (a) T4
- (b) T5
- (c) T3
- (d) None of these
Answer: (b)
