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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
![NCERT solutions for Mathematics [English] Class 11 chapter 7 - Binomial Theorem - Shaalaa.com](/images/mathematics-english-class-11_6:6ab366e2671b448497dd3d3a0e6fed94.jpg "NCERT solutions for Mathematics [English] Class 11 chapter 7 - Binomial Theorem")
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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 Mathematics [English] Class 11.
NCERT solutions for Mathematics [English] Class 11 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 Mathematics [English] Class 11 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 Mathematics [English] Class 11 chapter 7 - Binomial Theorem
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Concepts covered in Mathematics [English] Class 11 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.
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