Arts (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

Find the area of the region bounded by the curve y² = 4x, x² = 4y.

Find the area of the region included between y² = 9x and y = x

Find the area of the region enclosed by the parabola x² = y and the line y = x + 2

Find the area of region bounded by the line x = 2 and the parabola y² = 8x

Sketch the region `{(x, 0) : y = sqrt(4 - x^2)}` and x-axis. Find the area of the region using integration.

Using integration, find the area of the region bounded by the line 2y = 5x + 7, x- axis and the lines x = 2 and x = 8.

Find the area of the region bounded by y = `sqrt(x)` and y = x.

Find the area enclosed by the curve y = –x² and the straight lilne x + y + 2 = 0

Find the area bounded by the curve y = `sqrt(x)`, x = 2y + 3 in the first quadrant and x-axis.

Find the area of the region bounded by the curve y² = 2x and x² + y² = 4x.

Find the area bounded by the curve y = sinx between x = 0 and x = 2π.

Find the area of region bounded by the triangle whose vertices are (–1, 1), (0, 5) and (3, 2), using integration.

Draw a rough sketch of the region {(x, y) : y² ≤ 6ax and x 2 + y² ≤ 16a²}. Also find the area of the region sketched using method of integration.

Compute the area bounded by the lines x + 2y = 2, y – x = 1 and 2x + y = 7.

Find the area bounded by the lines y = 4x + 5, y = 5 – x and 4y = x + 5.

Find the area bounded by the curve y = 2cosx and the x-axis from x = 0 to x = 2π

Draw a rough sketch of the given curve y = 1 + |x +1|, x = –3, x = 3, y = 0 and find the area of the region bounded by them, using integration.

`"cos"  2 theta` is not equal to ____________.

When `"x" = "x"/2`, then tan x is ____________.

`"sin"^2 25° +  "sin"^2 65°` is equal to ____________.