Binomial Theorem
8 Questions
| Attempts: 726
In fundamental algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x+y) into a sum involving anywhere the components b and c are non -negative integers. If you need to know more, try this quiz.
Questions and Answers
- 1.
If the coefficients of x^7 and x^8 in (2 + x/3)^n are equal , then value of n is
- A.
56
- B.
55
- C.
47
- D.
19
Correct Answer
B. 55 -
- 2.
If A and B are coefficients of x^n in the expansions of (1+x)^2n and (1+x)^2n-1 respectively , then (hint:take the ratio of coefficients)
- A.
A=B
- B.
A=2B
- C.
2A=B
- D.
None of these
Correct Answer
A. A=B -
- 3.
The terms independent of x in [ (3x^2)/2 - (1/3x )]^9 is
- A.
Term 5
- B.
Term 6
- C.
Term 7
- D.
None of these
Correct Answer
C. Term 7 -
- 4.
The middle term in the expansion of (x^2 - 2/x)^10 is
- A.
-7362x^4
- B.
-8064x^5
- C.
-2982x^5
- D.
5324x^4
Correct Answer
C. -2982x^5 -
- 5.
The total number of terms in the expansion (x+a)^200 + (x-a)^200 after simplification is
- A.
201
- B.
202
- C.
101
- D.
102
Correct Answer
A. 201 -
- 6.
The number of terms in the expansion of (x^2 +6x + 9)^30 is(simplest of the lot)
- A.
30
- B.
29
- C.
32
- D.
31
Correct Answer
D. 31 -
- 7.
The remainder when 2^2000 is divided by 17 is
- A.
1
- B.
2
- C.
8
- D.
None of these
Correct Answer
A. 1 -
- 8.
Sum of the last 20 coefficients in the expansion of (1+x)^39, when expanded in ascending powers of x, is
- A.
2^19
- B.
2^18
- C.
40C20 - 20^19
- D.
2^38
Correct Answer(s)
A. 2^19
D. 2^38 -
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Current Version
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Jan 12, 2021Quiz Edited by
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Mar 30, 2009Quiz Created by
Ankitmahapatra22
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