HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find k if the equations x + y + z = 1, 3x – y – z = 4, x + 5y + 5z = k are inconsistent

Using Integration, find the area of the region bounded the line 2y + x = 8, the x-axis and the lines x = 2, x = 4

Find the area bounded by the lines y – 2x – 4 = 0, y = 0, y = 3 and the y-axis

Calculate the area bounded by the parabola y² = 4ax and its latus rectum

Find the area bounded by the line y = x and x-axis and the ordinates x = 1, x = 2

Using integration, find the area of the region bounded by the line y – 1 = x, the x-axis and the ordinates x = – 2, x = 3

Find the area of the region lying in the first quadrant bounded by the region y = 4x², x = 0, y = 0 and y = 4

Find the area bounded by the curve y = x² and the line y = 4.

Choose the correct alternative:

Area bounded by the curve y = x(4 – x) between the limits 0 and 4 with x-axis is

Choose the correct alternative:

Area bounded by the curve y = e^–2x between the limits 0 ≤ x ≤ `oo` is

Choose the correct alternative:

Area bounded by the curve y = `1/x` between the limits 1 and 2 is

Choose the correct alternative:

Area bounded by y = x between the lines y = 1, y = 2 with y-axis is 

Choose the correct alternative:

Area bounded by y = e^x between the limits 0 to 1 is

Choose the correct alternative:

The area bounded by the parabola y² = 4x bounded by its latus rectum is

Choose the correct alternative:

Area bounded by y = |x| between the limits 0 and 2 is

Find the area of the region bounded by the curve between the parabola y = 8x² – 4x + 6 the y-axis and the ordinate at x = 2

Find the area of the region bounded by the curve y² = 27x³ and the lines x = 0, y = 1 and y = 2

Find the order and degree of the following differential equation:

`("d"y)/("d"x) + 2 = x^3`

Find the order and degree of the following differential equation:

`("d"^3y)/("d"x^3) + 3 (("d"y)/("d"x))^3 + 2 ("d"y)/("d"x)` = 0

Find the order and degree of the following differential equation:

`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`