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Binomial Theorem Quiz
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Question 1
If the second term in the expansion of
is
, then the value of
, is
![](https://gradeup-question-images.grdp.co/liveData/PROJ63711/1603780063242310.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ63711/1603780063977336.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ63711/1603780064728786.png)
Question 2
The coefficient of
in the expansion of
, is
![](https://gradeup-question-images.grdp.co/liveData/PROJ63711/1603780051226866.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ63711/1603780051996144.png)
Question 3
If n > 1 is the smallest integer with the property that
is divisible by 2009, then the integral part of
![](https://gradeup-question-images.grdp.co/liveData/PROJ62792/160248579985132.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ62792/1602485800579227.png)
Question 4
If the coefficient of
,
and
term in the binomial expansion of
are A.P., then n and r are related as :
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/1598270033986773.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/1598270034724972.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/1598270035551621.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/1598270036289998.png)
Question 5
If the expansion of
, in the powers of x, is
. Then
is equal to-
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/159827005126411.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/159827005199559.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57294/1598270052775450.png)
Question 6
The coefficient of
in the expansion of
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ67171/1607411282834421.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ67171/1607411283611458.png)
Question 7
When
divided by 25, then what will be always leave remainder?
![](https://gradeup-question-images.grdp.co/liveData/PROJ65267/160630448050487.png)
Question 8
Find the value of constant term of the expansion of
.
![](https://gradeup-question-images.grdp.co/liveData/PROJ65267/1606304491385628.png)
Question 9
If
, then find the value of n and r.
![](https://gradeup-question-images.grdp.co/liveData/PROJ65267/1606304510696438.png)
Question 10
If
, then find the value of
.
![](https://gradeup-question-images.grdp.co/liveData/PROJ65267/1606304533875250.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ65267/1606304534635674.png)
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