HSC Science (General) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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 40^th word?

In the following expansion, find the indicated term:

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

In the following expansion, find the indicated term.

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

In the following expansion, find the indicated term.

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

In the following expansion, find the indicated term.

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

In the following expansion, find the indicated term.

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

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

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

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

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

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

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

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

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

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:

Select the correct answer from the given alternatives.

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

Select the correct answer from the given alternatives.

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

Select the correct answer from the given alternatives.

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

Answer the following:

Find third term in the expansion of `(9x^2 - y^3/6)^4`

Answer the following:

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