HSC Arts (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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`.

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

Answer the following:

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

Answer the following

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

Answer the following:

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

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

If `(x + 1/3, y/3 - 1) = (1/2, 3/2)`, find x and y