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

From the curve y = sin x, graph the function
y = `sin(pi/2 + x)` which is cos x

From the curve y = sin x, graph the function
y = `sin (pi/2 - x)` which is also cos x (refer trigonometry)

From the curve y = x, draw y = − x

From the curve y = x, draw y = 2x

From the curve y = x, draw y = x + 1

From the curve y = x, draw y = `1/2 x +  1`

From the curve y = x, draw 2x + y + 3 = 0

From the curve y = |x|, draw y = |x − 1| + 1

From the curve y = |x|, draw y = |x + 1| − 1

From the curve y = |x|, draw y = |x + 2| − 3

From the curve y = sin x, draw y = sin |x| (Hint: sin(−x) = − sin x)

Find all values of x for which `(x^3(x - 1))/((x - 2)) > 0`

Find all values of x that satisfies the inequality `(2x - 3)/((x - 2)(x - 4)) < 0`

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)`