HSC Science (Electronics) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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`

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