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Chapters
2: Relations and Functions
3: Trigonometric Functions
4: Complex Numbers and Quadratic Equations
5: Linear Inequalities
6: Permutations and Combinations
▶ 7: Binomial Theorem
8: Sequences and Series
9: Straight Lines
10: Conic Sections
11: Introduction to Three Dimensional Geometry
12: Limits and Derivatives
13: Statistics
14: Probability
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Solutions for Chapter 7: Binomial Theorem
Below listed, you can find solutions for Chapter 7 of CBSE, Karnataka Board PUC NCERT for मैथमैटिक्स [अंग्रेजी] कक्षा ११.
NCERT solutions for मैथमैटिक्स [अंग्रेजी] कक्षा ११ 7 Binomial Theorem EXERCISE 7.1 [Pages 132 - 133]
Expand the expression: (1– 2x)5
Expand the expression: `(2/x - x/2)^5`
Expand the expression: (2x – 3)6
Expand the expression: `(x/3 + 1/x)^5`
Expand the expression: `(x + 1/x)^6`
Using Binomial Theorem, evaluate the following:
(96)3
Using Binomial Theorem, evaluate of the following:
(102)5
Using binomial theorem, evaluate f the following:
(101)4
Using binomial theorem, evaluate the following:
(99)5
Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.
Find (a + b)4 – (a – b)4. Hence, evaluate `(sqrt3 + sqrt2)^4 - (sqrt3 - sqrt2)^4`
Find (x + 1)6 + (x – 1)6. Hence or otherwise evaluate `(sqrt2 + 1)^6 + (sqrt2 -1)^6`
Show that 9n+1 – 8n – 9 is divisible by 64, whenever n is a positive integer.
Prove that `sum_(r-0)^n 3^r ""^nC_r = 4^n`
NCERT solutions for मैथमैटिक्स [अंग्रेजी] कक्षा ११ 7 Binomial Theorem Miscellaneous Exercise [Pages 133 - 131]
If a and b are distinct integers, prove that a – b is a factor of an – bn, whenever n is a positive integer.
[Hint: write an = (a – b + b)n and expand]
Evaluate `(sqrt3 + sqrt2)^6 - (sqrt3 - sqrt2)^6`
Find the value of `(a^2 + sqrt(a^2 - 1))^4 + (a^2 - sqrt(a^2 -1))^4`
Find an approximation of (0.99)5 using the first three terms of its expansion.
Expand using Binomial Theorem `(1+ x/2 - 2/x)^4, x != 0`
Find the expansion of (3x2 – 2ax + 3a2)3 using binomial theorem.
Solutions for 7: Binomial Theorem
NCERT solutions for मैथमैटिक्स [अंग्रेजी] कक्षा ११ chapter 7 - Binomial Theorem
Shaalaa.com has the CBSE, Karnataka Board PUC Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा ११ CBSE, Karnataka Board PUC solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा ११ CBSE, Karnataka Board PUC 7 (Binomial Theorem) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in मैथमैटिक्स [अंग्रेजी] कक्षा ११ chapter 7 Binomial Theorem are Binomial Theorem for Positive Integral Indices, General and Middle Terms, Introduction of Binomial Theorem, Proof of Binomial Therom by Pattern, Proof of Binomial Therom by Combination, Rth Term from End, Simple Applications of Binomial Theorem, Binomial Theorem for Positive Integral Indices, General and Middle Terms, Introduction of Binomial Theorem, Proof of Binomial Therom by Pattern, Proof of Binomial Therom by Combination, Rth Term from End, Simple Applications of Binomial Theorem.
Using NCERT मैथमैटिक्स [अंग्रेजी] कक्षा ११ solutions Binomial Theorem exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Karnataka Board PUC मैथमैटिक्स [अंग्रेजी] कक्षा ११ students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 7, Binomial Theorem मैथमैटिक्स [अंग्रेजी] कक्षा ११ additional questions for Mathematics मैथमैटिक्स [अंग्रेजी] कक्षा ११ CBSE, Karnataka Board PUC, and you can use Shaalaa.com to keep it handy for your exam preparation.
