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

Select the correct answer from the given alternatives.

`lim_(x -> 2) ((x^4 - 16)/(x^2 - 5x + 6))` =

Select the correct answer from the given alternatives.

`lim_(x -> -2)((x^7 + 128)/(x^3 + 8))` =

Select the correct answer from the given alternatives.

`lim_(x -> 3) (1/(x^2 - 11x + 24) + 1/(x^2 - x - 6))` = 

Select the correct answer from the given alternatives.

`lim_(x -> 5) ((sqrt(x + 4) - 3)/(sqrt(3x - 11) - 2))` =

Differentiate the following w.r.t.x :

y = `x^(4/3) + "e"^x - sinx`

Differentiate the following w.r.t.x :

y = `sqrt(x) + tan x - x^3`

Differentiate the following w.r.t.x :

y = `log x - "cosec"  x + 5^x - 3/(x^(3/2))`

Differentiate the following w.r.t.x :

y = `x^(7/3) + 5x^(4/5) - 5/(x^(2/5))`

Differentiate the following w.r.t.x :

y = `7^x + x^7 - 2/3 xsqrt(x) - logx + 7^7`

Differentiate the following w.r.t.x :

y = `3 cotx - 5"e"^x + 3logx - 4/(x^(3/4))`

Select the correct answer from the given alternative:

If y = `(x - 4)/(sqrtx + 2)`, then `("d"y)/("d"x)`

Select the correct answer from the given alternative:

If y = `(3x + 5)/(4x + 5)`, then `("d"y)/("d"x)` =

Evaluate the following determinants:

`|(x - 1, x, x - 2),(0, x - 2, x - 3),(0, 0, x - 3)| = 0`

Determine which of the following pairs of angles are co-terminal 210°, – 150°.

Determine which of the following pair of angles is co-terminal.

360°, −30°

Determine which of the following pair of angles is co-terminal.

−180°, 540°

Determine which of the following pair of angles is co-terminal.

−405°, 675°

Determine which of the following pair of angles is co-terminal.

860°, 580°

Determine which of the following pair of angles is co-terminal.

900°, −900°

Draw the angle of the following measure and determine their quadrant.

–140°