In This Post we are providing Chapter-8 BINOMINAL THEOREM NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MOST IMPORTANT QUESTIONS ON BINOMINAL THEOREM
1. Find Hence evaluate
Ans.
Put 
2. Show that is divisible by 64, whenever n is positive integer.
Ans. 
3. Find the general term in the expansion of
Ans. 
4. In the expansion of prove that coefficients of and are equal.
Ans. 
Put 
and 
respectively
Coeff of 
is 
Coeff of 
is 
H.P
5. Expand
Ans. 
6. Find the sixth term of the expansion if the binomial coefficient of the third term from the end is 45.
Ans. The binomial coeff of the third term from end = binomial coeff of the third term from beginning = 
7. Find a if the 17th and 18th terms of the expansion are equal.
Ans. 
ATQ put 
and 17
8. Find the term independent of in the expansion of
Ans. 
Put 
9. If the coeff of and terms in the expansion of are equal find
Ans.
Coeff are
and 
ATQ 
10. Show that the coeff of the middle term in the expansion of is equal to the sum of the coeff of two middle terms in the expansion of
Ans. As 
is even so the expansion 
has only one middle term which is 
term
Coeff of 
is 
Similarly 
being odd the other expansion has two middle term i.e
and 
term
i.e 
and 
The coeff are 
and 
11. Find the value of if the coeff of and terms in the expansion of are equal.
Ans. 
Put 
And 
ATQ 
12. Find the 13th term in the expansion of
Ans. 
Put 
13.Find , if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of is
Ans.Fifth term from the beginning in the expansion of 
is
How fifth term from the end would be equal to 
in term from the beginning
ATQ 
14. The sum of the coeff. 0f the first three terms in the expansion of being natural no. is 559. Find the term of expansion containing
Ans.The coeff. Of the first three terms of 
are 
and 
Therefore, by the given condition
On solving we get 
15.Show that the middle term in the expansion of is
Ans.As 
is even, the middle term of the expansion 
term
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