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HSC Science (Computer Science) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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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

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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

Answer the following:

Find tenth term in the expansion of `(2x^2 + 1/x)^12`

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

Find the coefficients of x6 in the expansion of `(3x^2 - 1/(3x))^9`.

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

Find the coefficients of x60 in the expansion of `(1/x^2 + x^4)^18`

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

Answer the following:

Find the constant term in the expansion of `((4x^2)/3 + 3/(2x))^9`

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

Answer the following

Find the constant term in the expansion of `(2x^2 - 1/x)^12`

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

Answer the following:

If the coefficient of x2 and x3 in the expansion of (3 + kx)9 are equal, find k

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

Answer the following:

If the constant term in the expansion of `(x^3 + "k"/x^8)^11` is 1320, find k

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

Answer the following:

Show that there is no term containing x6 in the expansion of `(x^2 - 3/x)^11`

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

Answer the following:

Show that there is no constant term in the expansion of `(2x - x^2/4)^9`

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

Answer the following:

State, first four terms in the expansion of `(1 - (2x)/3)^(-1/2)`

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

Answer the following:

State, first four terms in the expansion of `(1 - x)^(-1/4)`

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

Answer the following:

State, first three terms in the expansion of `(5 + 4x) ^(-1/2)`

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

Answer the following:

Find the term independent of x in the in expansion of `(1 - x^2) (x + 2/x)^6`

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

Answer the following:

(a + bx) (1 − x)6 = 3 − 20x + cx2 + ..... then find a, b, c

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

Answer the following:

The 3rd term of (1 + x)n is 36x2. Find 5th term

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

Answer the following:

Suppose (1 + kx)n = 1 − 12x + 60x2 − .... find k and n.

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

If (x − 1, y + 4) = (1, 2) find the values of x and y

[2.5] Sets and Relations
Chapter: [2.5] Sets and Relations
Concept: undefined >> undefined
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