Binomial Theorem
8 Questions
| Total Attempts: 646
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Questions on binomial theorem
Questions and Answers
- 1.
- A.
56
- B.
55
- C.
47
- D.
19
- 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
- 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
- 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
- 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
- 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
- 7.The remainder when 2^2000 is divided by 17 is
- A.
1
- B.
2
- C.
8
- D.
None of these
- 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
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