# Plus One Maths Chapter Wise Previous Questions Chapter 8 Binomial Theorem

Kerala State Board New Syllabus Plus One Maths Chapter Wise Previous Questions and Answers Chapter 8 Binomial Theorem.

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

### Plus One Maths Binomial Theorem 3 Marks Important Questions

Question 1.
i) The number of terms in the expansion of $$\left(\frac{x}{3}+9 y\right)^{10}$$ is _____.(IMP-2013)
ii) Find the middle term in the above expansion.
i) 11

Question 2.
i) Find the general term in the expansion of (x + y)n
ii) Find the middle term in the expansion of $$\left(2 x+\frac{1}{3 y}\right)^{18}$$ (MARCH-2014)

Question 3.
i) Write the general term in the expansion of (a + b)
ii) Find the 9th term in the expansion of $$\left(\frac{x}{2}+\frac{6}{x^{2}}\right)^{12}$$ (IMP-2014)

### Plus One Maths Binomial Theorem 4 Marks Important Questions

Question 1.
i) Find the general term in the expansion of $$\left(3 x^{2}-\frac{1}{3 x}\right)^{9}$$ (MARCH-2010)
ii) Find the term independent of x in the above expansion.

Question 2.
Consider the expansion of $$\left(x^{2}-\frac{1}{3 x}\right)^{9}$$ (IMP-2010)
i) Find the coefficient of x9
ii) Find the term which is independent of x.

Question 3.
Consider the expansion of $$\left(\frac{x}{9}+9 y\right)^{2 n}$$ (MARCH-2011)
i) The number of terms in the expansion is _____
(a) 2n
(b) n+1
(c) 2n+1
(d) 2/7-1
ii) What is its (n+1)th term?
iii) If n = 5, find its middle term.

Question 4.
i) Write the general term in the expansion (1 + x)44
Write 21st and ,22nd terms in the expansion of (1 + x)44
iii) If 21st and 22nd terms in the expansion of (1 + x)44 are equal then find the value of x. (IMP-2011)

Question 5.
8. Find(x + y)4 – (x – y)4(IMP-2012)
Hence evaluate: (√5 + √6)4 – (√5 – √6)4

Question 6.
i) How many terms are there in the expansion of (1 + x)2n (n is a positive integer)? (IMP-2012)
ii) Show that the middle term in the (1 + x)2n
expansion of is $$\frac{1.3 .5 \ldots(2 n-1)}{n !} 2^{n} x^{n}$$

Question 7.
i) Find the general term in the expansion of $$\left(\frac{x}{2}-\frac{2}{x}\right)^{10}$$ (MARCH-2012)
ii) Find the terms independent of x in the above expansion.

Question 8.
i) Find the number of terms in the expansion of $$\left(x-\frac{1}{x}\right)^{14}$$ (MARCH-2013)
ii) Find the general term in the expansion of $$\left(x-\frac{1}{x}\right)^{14}$$
iii) Find the term independent of x in the above expansion.
i) 15

Question 9.
i)Write the number of terms in the expansion of (a -b)2n
ii) Find the general term in the expansion of $$\left(x^{2}-y x\right)^{12}, x \neq 0$$ (MARCH-2014)
iii) Find the coefficient of x6y3 in the expansion of (x + 2y)9

Question 10.
i) Write the expansion of (a + n)n, where n is any positive integer. (IMP-2014)
ii) Find the value of ‘a’ if the 17th term and 18th term in the expansion of (2 +a)50 are equal.

Question 11.
i) The number of term in the expansion of $$\left(x-\frac{1}{x}\right)^{2 n}$$ is ______. (MARCH-2015)
(a) n+1
(b) n
(c) 2n+1
(d) 2n+2
ii) Find a, if the 17th term and 18th term of the expansion of (2 +a)50 are equal.

Question 12.
i) Number of terms in the expansion of $$\left(x+\frac{1}{x}\right)^{20}$$ (IMP-2016)
(a) 19
(b) 20
(c) 21
(d) 22
Consider the expansion of $$\left(3 x^{2}-\frac{1}{3 x}\right)^{9}$$
find the coefficient of x6 and the term independent of x.

Question 13.
The 8th term in the expression (MARCH-2016)
of(√2 + √3)7 is
a) 27√2
b) 27√3
c) 72√2
d) 72√3
ii) Find the term independent of x in the expansion of $$\left(x+\frac{1}{2 x}\right)^{18} ; x>0$$

Question 14.
Write the expansion of (a + b)4  (MAY-2017)
Evaluate: (√5 + √6)4+ (√5 – √6)4

Question 15.
Consider the expansion of $$\left(x+\frac{1}{x}\right)^{10}$$ (MARCH-2017)
i) The number of terms in the expansion is _____.
(a) 10
(b) 9
(c)11
(d) 12
ii) Find the term which is independent of x in the above expansion.
ii) Expand $$\left(\frac{x}{3}+\frac{1}{x}\right)^{5}$$ (MARCH-2013)
iii) Find the general term in the expansion of $$\left(x^{2}-y\right)^{6}$$