NCERT Class 11-Math's: Chapter –8 Binomial Theorem Part 6
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Question 21:
The ratio of the coefficient of to the term independent of in is
(A)
(B)
(C)
(D)
Answer:
(B) Is the correct choice.
Let be the general term of , so
Now, for the coefficient of term containing ,
Therefore, is the coefficient of (from (1))
To find the term independent of , put
Thus is the term independent of (from (1))
Now the ratio is
Question 22:
If , then
(A)
(B)
(C)
(D)
Answer:
B is the correct choice. On simplification, we get
Since and , will not contain any i and hence .
8.3 EXERCISE
Short Answer Type
Question 1:
Find the term independent of , , in the expansion of
Answer:
Question 2:
If the term free from in the expansion of is , find the value of k.
Answer:
Question 3:
Find the coefficient of x in the expansion of .
Answer:
Question 4:
Find the term independent of x in the expansion of,
Answer:
Question 5:
Find the middle term (terms) in the expansion of
(i) (ii)
Answer:
(i) (ii)
Question 6:
Find the coefficient of in the expansion of .
Answer:
Question 7:
Find the coefficient of in the expansion of
Answer:
Question 8:
Find the sixth term of the expansion , if the binomial coefficient of the third term from the end is 45.
[Hint: Binomial coefficient of third term from the end Binomial coefficient of third term from beginning .]
Answer:
Question 9:
Find the value of , if the coefficients of and terms in the expansion of are equal.
Answer: