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HSC Science (Computer Science) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions

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Select the correct answer from the given alternatives.

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
Concept: undefined >> undefined

Answer the following:

Find the number of words that can be formed by using all the letters in the word REMAIN If these words are written in dictionary order, what will be the 40th word?

[2.3] Permutations and Combination
Chapter: [2.3] Permutations and Combination
Concept: undefined >> undefined

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In the following expansion, find the indicated term:

`(2x^2 + 3/(2x))^8`, 3rd term.

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

In the following expansion, find the indicated term.

`(x^2 - 4/(x^3))^11`, 5th term

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

In the following expansion, find the indicated term.

`((4x)/5 - 5/(2x))^9`, 7th term

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

In the following expansion, find the indicated term.

`(1/3 + "a"^2)^12`, 9th term

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

In the following expansion, find the indicated term.

`(3"a" + 4/"a")^13`, 10th term

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

Find the constant term (term independent of x) in the expansion of `(2x + 1/(3x^2))^9`

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

Find the constant term (term independent of x) in the expansion of `(x - 2/x^2)^15`

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

Find the constant term (term independent of x) in the expansion of `(sqrt(x) - 3/x^2)^10`

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

Find the constant term (term independent of x) in the expansion of `(x^2 - 1/x)^9`

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

Find the constant term (term independent of x) in the expansion of `(2x^2 - 5/x)^9`

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

In the expansion of (k + x)8, the coefficient of x5 is 10 times the coefficient of x6. Find the value of k.

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

Find the term containing x6 in the expansion of (2 − x) (3x + 1)9

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

The coefficient of x2 in the expansion of (1 + 2x)m is 112. Find m

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

Select the correct answer from the given alternatives.

The total number of terms in the expression of (x + y)100 + (x − y)100 after simplification is:

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

Select the correct answer from the given alternatives.

In the expansion of (x2 − 2x)10, the coefficient of x16 is

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

Select the correct answer from the given alternatives.

The term not containing x in expansion of `(1 - x)^2 (x + 1/x)^10` is 

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

Select the correct answer from the given alternatives.

The number of terms in expansion of (4y + x)8 − (4y − x)8 

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

Answer the following:

Find third term in the expansion of `(9x^2 - y^3/6)^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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