8. Binomial Theorem Mathematics Exercise - 8.2 class 11 Maths in English - CBSE Study
NCERT Solutions for Class 11 Mathematics are carefully prepared according to the latest CBSE syllabus and NCERT textbooks to help students understand every concept clearly. These solutions cover all important 8. Binomial Theorem with detailed explanations and step-by-step answers for better exam preparation. Each Exercise 8.2 is explained in simple language so that students can easily grasp the fundamentals and improve their academic performance. The study material is designed to support daily homework, revision practice, and final exam preparation for Class 11 students. With accurate answers, concept clarity, and structured content, these NCERT solutions help learners build confidence and score higher marks in their examinations. Whether you are revising a specific topic or preparing an entire chapter, this resource provides reliable and syllabus-based guidance for complete success in Mathematics.
Class 11 English Medium Mathematics All Chapters:
8. Binomial Theorem
2. Exercise 8.2
Exercise 8.2
Find the coefficient of
Q1. x5 in (x + 3)8
Solution:
(x + 3)8
General term nCr an-r br
n = 8, then
8Cr x8-r 3r ⇒ x5 = x8-r
5 = 8-r
∴ r = 8-5 = 3
8C3 x8-3 33 = 8C3 x5 33
Coefficient in x5 = 8C3 33
= 1512
Q2. a5b7 in (a-2b)12
Solution:
(a-2b)12
General Term Tr+1 = nCr an-r br
12Cr a12-r br
∴12 – r = 5 ⇒ r = 12 – 5 = 7
a5b7 is 8 term
T8 = 12C7 a5 b7
= 12C7 a5 (-2b)7
= - 72 × 11 × 27
= - 72 × 11 × 128 = - 101376
Write the general term in the expansion of
Q3. (x2 - y)6
Solution:
General term of (x2 - y)6
n = 6, a = x2, b = (-y)
General Term Tr +1 = nCr an-r br
= 6Cr (x2)6-r (-y)r
=
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