## Kerala Plus One Maths Chapter Wise Previous Questions and Answers Chapter 8 Binomial Theorem

Question 1.

a. Which one of the following has its middle term independent of x?

b. Write the expansion of

c. Determine whether the expression of will contain a term containing .

Answer:

Question 2.

Consider the expansion of

a. The number of terms in the expansion is ……………..

i. 10

ii. 9

iii. 11

iv. 12

b. Find the term which is independent of x in the above expansion. [March – 2017]

Answer:

Question 3.

a. The 8^{th} term in the expansion of is………

i.

ii.

iii.

iv.

b. Find the term independent of x in the expansion of

Answer:

Question 4.

a. The number of terms in the expansion of is is………

i. n +1

ii. n

iii. 2n +1

iv. 2n + 2

b. Find a, if the 17^{th} term and 18^{th} term of the expansion of(2+a)^{50} are equal. [March – 2015]

Answer:

a. 2n+1

Question 5.

a. Write the number of terms in the expansion of (a-b)^{2n }b. Find the general term in the expansion of

(x^{2} – yx)^{12}, x ≠ 0

c. Find the coefficient of x^{6}y^{3 }in the expansion of (x + 2 y)^{9} [March-2014]

Answer:

a. Number of terms in expansion can be given by 2 n + 1

Question 6.

a. Find the number of terms in the expansion of

b. Find the general term in the expansion of

c. Find the terms independent of x in the above expansion. [March-2013]

Answer:

Question 7.

Find (x+y)^{4}-(x-y)^{4}. Hence evaluate [February-2013]

Answer:

Question 8.

a. Find the general term in the expansion of

b.Find the term independent of x in the above expansion. [March – 2012]

Answer:

Question 10.

Consider the expansion of

i. The number of terms in the above expansion is……………………..

(a) 2/i

(b) n +1

(c) 2n + 1

(d) 2n -1

ii. What is its (n+1)^{tb} term?

iii.If n = 5, find its middle term. [March-2011]

Answer:

Question 11.

a. Find the general term in the expansion of

b. Find the term independent of x in the above expansion. [March-2010]

Answer:

Question 12.

Consider the expansion of

a. Find the coefficient of x^{9}.

b. Find the term independent of x. [September-2010]

Answer:

Question 13.

i. Write the general terms in the expression of

ii. Find the term independent of x in this expansion. [August-2009]

Answer:

Question 14.

a. Write the general term in the expansion of(x^{2}-y)^{6 }b. Find the term independent of x in the expansion of [March -2009]

Answer: