Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 11 Mathematics 8. Binomial Theorem to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 11 Mathematics 8. Binomial Theorem to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 8.2. Whether you are studying for board exams or mid-term exams, 11 Mathematics Chapter 8. Binomial Theorem solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsExercise 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
=
Exercise 8.2 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 11 Mathematics Chapter 8. Binomial Theorem solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 11 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 8. Binomial Theorem. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 8.2 include complete solutions for 11 Mathematics Chapter 8. Binomial Theorem exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 8. Binomial Theorem. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 8.2 are useful for both board exams and mid-term exams. For 11 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 8.2 for 11 Mathematics Chapter 8. Binomial Theorem are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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