NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2
NCERT Solutions for Class
11 Maths Chapter 8
Binomial Theorem Ex 8.2 are the part of NCERT Solutions for Class 11 Maths.
Here you can find the NCERT Solutions for Class 11 Maths Chapter 8 Binomial
Theorem Ex 8.2.
Ex 8.2 Class 11 Maths Question 1.
Find the coefficient of x5 in (x + 3)8.Solution.
Suppose x5 occurs in the (r + 1)th term of the
expansion (x + 3)8.
Ex 8.2 Class 11 Maths Question 2.
Find the coefficient of a5 b7 in (a – 2b)12.Solution.
Suppose a5 b7 occurs in the (r + 1)th term
of the expansion (a – 2b)12.
Write the general term in the
expansion of:
Ex 8.2 Class 11 Maths Question 3.
(x2 – y)6Solution.
Ex 8.2 Class 11 Maths Question 4.
(x2 – yx)12, x ≠ 0Solution.
We have, (x2 – yx)12 = (x2 +
(-yx))12, x ≠ 0
Ex 8.2 Class 11 Maths Question 5.
Find the 4th term in the expansion of (x – 2y)12.Solution.
Ex 8.2 Class 11 Maths Question 6.
Find the 13th term in the expansion of (9x – 1/3√x)18, x ≠ 0.Solution.
Find the middle terms in the expansions of
Ex 8.2 Class 11 Maths Question 7.
(3 −x3/6)7Solution.
As the exponent 7 is odd, so there will be two middle terms in the expansion
Ex 8.2 Class 11 Maths Question 8.
(x/3 + 9y)10Solution.
Ex 8.2 Class 11 Maths Question 9.
In the expansion of (1 + a)m+n, prove that coefficients of am and an are equal.Solution.
Ex 8.2 Class 11 Maths Question 10.
The coefficients of the (r – 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the ratio 1 : 3 : 5. Find n and r.Solution.
Ex 8.2 Class 11 Maths Question 11.
Prove that the coefficient of xn in the expansion of (1 + x)2n is twice the coefficient of xn in the expansion of (1 + x)2n-1.Solution.
Ex 8.2 Class 11 Maths Question 12.
Find a positive value of m for which the coefficient of x2 in the expansion (1 + x)m is 6.Solution.
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