MCQs Questions for Class 11 Maths Chapter 8 Binomial Theorem
In this 21st century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.
In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.
In this post, you will find 15 MCQs questions for class 11 maths chapter 8 binomial theorem.
MCQs Questions for Class 11 Maths Chapter 8 Binomial Theorem
1. The coefficient of y in the
expansion of (y² + c/y)5 is
(a) 10c
(b) 10c3
(c) 10c2
(d) None of these
Answer: b
2. What is the general term of
(x – y)xy?
(a) x – yCr (xxy – r . yr)
(b) xyCr (xx – y – r .
-yr)
(c) xyCr (xxy – r . -yr)
(d) x – yCr (xx – y – r . yr)
Answer: c
3. The fourth term in the expansion of (x – 2y)12 is
(a) -1670 x9 × y³
(b) -7160 x9 × y³
(c) -1760 x9 × y³
(d) -1607 x9 × y³
Answer: c
4. What is the value of n, if the coefficient of the second term
of (x – y)3 is equal to the third term of the expansion (x
+ y)n?
(a) –2
(b) 3
(c) 4
(d) 5
Answer: b
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
6. Which term will be the middle term of (xyz – x)2n?
(a) (n + 1)th term
(b) (n + 2)th term
(c) nth term
(d) (n – 1)th term
Answer: a
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
8. What is the middle term in the expansion of (4 + 2x)6?
(a) 11240 x2
(b) 10240 x3
(c) 12240 x4
(d) 10340 x4
Answer: b
9. 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
10. What is the even value of n, if the middle term of (a + b)2n – 3 is 11?
(a) 12
(b) 10
(c) 20
(d) 22
Answer: a
11. 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) nth term
(d) (n/2 – 1)th term
Answer: a
12. If the general term of an expansion is 91C2 x89, then what is the expansion?
(a) (x)91
(b) (x – 2)90
(c) (x – 1)91
(d) (x + 1)9
Answer: c
13. If n is a positive integer, then 23nn – 7n – 1 is
divisible by
(a) 7
(b) 9
(c) 49
(d) 81
Answer: c
14. What is the coefficient of the middle term of (z + y)3x, if 3x is considered to be even and the middle
term is the 4th term?
(a) 7C3
(b) 6C2
(c) 6C3
(d) 7C2
Answer: a
15. The number of ordered triplets of positive integers which are
solution of the equation x + y + z = 100 is
(a) 4815
(b) 4851
(c) 8451
(d) 8415
Answer: b