HSC Arts (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions

Answer the following:

Find approximate value of `1/4.08` upto four places of decimals

Evaluate the following :

`lim_(x -> pi/2) [("cosec"x - 1)/(pi/2 - x)^2]`

Evaluate the following :

`lim_(x -> "a") [(sinx - sin"a")/(root(5)(x) - root(5)("a"))]`

Evaluate the following :

`lim_(x -> pi) [(sqrt(5 + cosx) - 2)/(pi - x)^2]`

Evaluate the following :

`lim_(x -> pi/6) [(cos x - sqrt(3) sinx)/(pi - 6x)]`

Evaluate the following :

`lim_(x -> 1) [(1 - x^2)/(sinpix)]`

Evaluate the following:

`lim_(x→π/6) [(2sinx − 1)/(π − 6x)]`

Evaluate the following :

`lim_(x -> pi/4) [(sqrt(2) - cosx - sinx)/(4x - pi)^2]`

Evaluate the following :

`lim_(x -> pi/6) [(2 - sqrt(3)cosx - sinx)/(6x - pi)^2]`

Evaluate the following :

`lim_(x -> "a") [(sin(sqrt(x)) - sin(sqrt("a")))/(x - "a")]`

Evaluate the following:

`lim_(x -> pi/2) [(cos3x + 3cosx)/(2x - pi)^3]`

Evaluate the following :

`lim_(x -> 0)[((1 - x)^5 - 1)/((1 - x)^3 - 1)]`

Evaluate the following :

`lim_(x -> 1) [(2^(2x - 2) - 2^x + 1)/(sin^2 (x - 1))]`

Evaluate the following :

`lim_(x -> 1) [(4^(x -  1) - 2^x + 1)/(x - 1)^2]`

Evaluate the following :

`lim_(x -> 1) [(sqrt(x) - 1)/logx]`

Find the trigonometric functions of 120°.

Find the value of x³-x^{2 ,} if x=2+3i

Find the value of x³ - x² + x + 46, if x = 2+3i. 

Find the value of x³ - x² + x + 46, if x = 2 + 3i.

Examine the consistency of the following equation:

2x − y + 3 = 0, 3x + y − 2 = 0, 11x + 2y − 3 = 0