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HSC Arts (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Evaluate the following : i93  

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Evaluate the following : i116 

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

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Evaluate the following : i403 

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Evaluate the following : `1/"i"^58`

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Evaluate the following : i–888 

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Evaluate the following : i30 + i40 + i50 + i60 

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Show that 1 + i10 + i20 + i30 is a real number

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Answer the following:

Show that z = `5/((1 - "i")(2 - "i")(3 - "i"))` is purely imaginary number.

[2.1] Complex Numbers
Chapter: [2.1] Complex Numbers
Concept: undefined >> undefined

Expand: `(sqrt(3) + sqrt(2))^4`

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Expand: `(sqrt(5) - sqrt(2))^5`

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Expand: (2x2 + 3)4 

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Expand: `(2x - 1/x)^6`

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Find the value of `(sqrt(3) + 1)^4- (sqrt(3) - 1)^4`.

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Find the value of `(2 + sqrt(5))^5 + (2 - sqrt(5))^5`

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Prove that `(sqrt(3) + sqrt(2))^6 + (sqrt(3) - sqrt(2))^6` = 970

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Prove that `(sqrt(5) + 1)^5 - (sqrt(5) - 1)^5` = 352

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Using binomial theorem, find the value of (102)4 

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Using binomial theorem, find the value of (1.1)5 

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Using binomial theorem, find the value of (9.9)3 

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined

Using binomial theorem, find the value of (0.9)4 

[2.4] Methods of Induction and Binomial Theorem
Chapter: [2.4] Methods of Induction and Binomial Theorem
Concept: undefined >> undefined
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Maharashtra State Board HSC Arts (English Medium) इयत्ता ११ वी Question Bank Solutions
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Question Bank Solutions for Maharashtra State Board HSC Arts (English Medium) इयत्ता ११ वी Mathematics and Statistics
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