HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate the following limits: `lim_(x -> 1) [(x^2 + xsqrt(x) - 2)/(x - 1)]`

Evaluate the following limits:  `lim_(x -> 0)[(sqrt(1 + x^2) - sqrt(1 + x))/(sqrt(1 + x^3) - sqrt(1 + x))]`

``Evaluate the following limits: `lim_(x -> 4) [(x^2 + x - 20)/(sqrt(3x + 4) - 4)]`

Evaluate the following limits: `lim_(x -> 2) [(x^3 - 8)/(sqrt(x + 2) - sqrt(3x - 2))]`

Evaluate the following limits: `lim_(y -> 2) [(2 - y)/(sqrt(3 - y) - 1)]`

Evaluate the following limits: `lim_(z -> 4) [(3 - sqrt(5 + z))/(1 - sqrt(5 - z))]`

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

−2 < [x] ≤ 7

Express the following recurring decimal as a rational number.

`3.\overset{.}{5}`

Express the following recurring decimals as a rational number.

`3.dot5`

Find the area of triangle whose vertices are A ( -1,2), B (2,4), C (0,0)

Find the area of triangle whose vertices are A ( -1,2) ,B (2,4) ,C (0,0)

Express the following recurring decimals as a rational number.

`3.dot5`

Express the following recurring decimals as a rational number.

`3.dot5`

Find the area of triangle whose vertices are A( -1, 2), B(2, 4), C(0, 0)

Express the following recurring decimal as a rational number.

\[\ce{3.\overset{.}{5}}\]

Find the area of triangle whose vertices are A(-1,2), B(2,4), C(0,0)

Find the area of triangle whose vertices are A( -1, 2), B(2, 4), C(0, 0).

Express the following recurring decimals as a rational number.

`3.dot5`

Find the area of triangle whose vertices are A(−1, 2), B(2, 4), C(0, 0).

Evaluate the following limit:

`lim_(x->0)[(sqrt(6 + x + x^2) - sqrt6)/x]`