NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem are provided in the article below. Binomial theorem is the process of algebraically expanding power of sums of two or more binomials. Chapter 8 Binomial Theorem covers important concepts including Pascal’s Triangle and Binomial Expansion Formula.
Download: NCERT Solutions for Class 11 Mathematics Chapter 8 pdf
Class 11 Maths NCERT Solutions Chapter 8 Binomial Theorem
Class 11 Maths NCERT Solutions Chapter 8 Binomial Theorem are provided below:
Also read: Binomial Theorem
Important Topics for Class 11 Maths NCERT Solutions Chapter 8 Binomial Theorem
Important Topics for Class 11 Maths NCERT Solutions Chapter 8 Binomial Theorem are elaborated below:
- Pascal’s Triangle
Pascals triangle (Pascal's triangle) is an arrangement of binomial coefficients in triangular form. This triangle starts with 1 at the top, then 1s at both sides of the triangle until the end.
Let’s understand Pascals Triangle Probability from the following table:
| Number of Tosses/Row of Pascals Triangle | Outcomes in Combinations | Elements in Pascals Triangle |
|---|---|---|
| 1 | {H} {T} | 1, 1 |
| 2 | {HH} {HT TH} {TT} | 1, 2, 2001 |
| 3 | {HHH} {HHT, HTH, THH} {HTT, THT, TTH} {TTT} | 1, 3, 3, 1 |
| 4 | {HHHH} {HHHT, HHTH, HTHH, THHH} {HHTT, HTHT, HTTH, THHT, THTH, TTHH} {HTTT, THTT, TTHT, TTTH} {TTTT} | 1, 4, 6, 4, 1 |
| ...etc... | ... etc ... | etc... |
- Binomial Expansion Formula
inomial expansion formulas are used to find the powers of the binomials which cannot be expanded using the algebraic identities. The binomial expansion formula involves binomial coefficients which are of the form:
\((_{k}^{n}) \) or \(n_{Ck}\)
It is calculated using the formula:
\(\frac{(_{k}^{n}) = n! }{[(n-k)!k!]}\)
NCERT Solutions For Class 11 Maths Chapter 8 Exercises:
The detailed solutions for all the NCERT Solutions for Chapter 8 Binomial Theorem under different exercises are as follows:
- NCERT Solutions For Class 11 Maths Chapter 8 Exercise 8.1 Solutions
- NCERT Solutions For Class 11 Maths Chapter 8 Exercise 8.2 Solutions
- NCERT Solutions For Class 11 Maths Chapter 8 Miscellaneous Exercises
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