HSC Arts इयत्ता ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Solve `(x^2 - 4)/(x^2 - 2x - 15) ≤ 0`

Resolve the following rational expressions into partial fractions

`1/(x^2 - "a"^2)`

Resolve the following rational expressions into partial fractions

`(3x + 1)/((x - 2)(x + 1))`

Resolve the following rational expressions into partial fractions

`x/((x^2 + 1)(x - 1)(x + 2))`

Resolve the following rational expressions into partial fractions

`x/((x - 1)^3`

Resolve the following rational expressions into partial fractions

`1/(x^4 - 1)`

Resolve the following rational expressions into partial fractions

`(x - 1)^2/(x^3 + x)`

Resolve the following rational expressions into partial fractions

`(x^2 + x + 1)/(x^2 - 5x + 6)`

Resolve the following rational expressions into partial fractions

`(x^3 + 2x + 1)/(x^2 + 5x + 6)`

Resolve the following rational expressions into partial fractions

`(x + 12)/((x + 1)^2 (x - 2))`

Resolve the following rational expressions into partial fractions

`(6x^2 - x + 1)/(x^3 + x^2 + x + 1)`

Resolve the following rational expressions into partial fractions

`(2x^2 + 5x - 11)/(x^2 + 2x - 3)`

Resolve the following rational expressions into partial fractions

`(7 + x)/((1 + x)(1 + x^2))`

Determine the region in the plane determined by the inequalities:

x ≤ 3y, x ≥ y

Determine the region in the plane determined by the inequalities:

y ≥ 2x, −2x + 3y ≤ 6

Determine the region in the plane determined by the inequalities:

3x + 5y ≥ 45, x ≥ 0, y ≥ 0

Determine the region in the plane determined by the inequalities:

2x + 3y ≤ 35, y ≥ 2, x ≥ 5.

Determine the region in the plane determined by the inequalities:

2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0

Determine the region in the plane determined by the inequalities:

x − 2y ≥ 0, 2x − y ≤ −2, x ≥ 0, y ≥ 0

Determine the region in the plane determined by the inequalities:

2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6