The area (in sq units) bounded by y = x² + 3 and y = 2x + 3 is

• $\frac{12}{7}$

• $\frac{4}{3}$

• $\frac{3}{4}$

• $\frac{8}{3}$

The area of the region bounded by y² = 16 - x², y = 0, x = 0 in the first quadrant is (in, square units)

• $8\mathrm{\pi }$

• $6\mathrm{\pi }$

• $2\mathrm{\pi }$

• $4\mathrm{\pi }$

The area bounded by the lines y - 2x = 2, y = 4 and the (Y-axis is equal to in square units)

• 1

• 4

• 0

• 3

The area bounded by the curves y = - x² + 3 and y = 0 is

• $\sqrt{3} + 1$

• $\sqrt{3}$

• $4\sqrt{3}$

• 5$\sqrt{3}$

The area bounded by the parabolas y² = 4ax and x² = 4ay is :

• $\frac{8{\mathrm{a}}^3}{3} \mathrm{sq} \mathrm{unit}$

• $\frac{16{\mathrm{a}}^2}{3} \mathrm{sq} \mathrm{unit}$

• $\frac{32{\mathrm{a}}^2}{3} \mathrm{sq} \mathrm{unit}$

• $\frac{64{\mathrm{a}}^2}{3} \mathrm{sq} \mathrm{unit}$

The area of the regior $\left\{\left(\mathrm{x}, \mathrm{y}\right) : {\mathrm{x}}^2 + {\mathrm{y}}^2 \le 1 \le \mathrm{x} + \mathrm{y}\right\}$ is :

• $\frac{{\mathrm{\pi }}^2}{5} \mathrm{sq} \mathrm{unit}$

• $\frac{{\mathrm{\pi }}^2}{2} \mathrm{sq} \mathrm{unit}$

• $\frac{{\mathrm{\pi }}^2}{3} \mathrm{sq} \mathrm{unit}$

• $\left(\frac{\mathrm{\pi }}{4} - \frac{1}{2}\right) \mathrm{sq} \mathrm{unit}$

The area bounded by the curve y = sin(x) between the ordinates x = 0, x = $\mathrm{\pi }$ and tht x-axis is :

• 2 sq unit

• 4 sq unit

• 1 sq unit

• 3 sq unit

78.

If the area bounded by the parabola y = 2 - x² and the line x + y = 0 is A sq unit, then A equals:

• 1/2

• 1/3

• 2/9

• 9/2

The area cut off by the latus rectum from the parabola y² = 4ax is :

• (8/3)a sq unit

• (8/3) $\sqrt{\mathrm{a}}$ sq unit

• (3/8)a² sq unit

• (8/3)a³ sq unit

The area between the curves y = xe^x and y = xe^-x and the line x = 1, in sq unit, is :

• $2\left(\mathrm{e} + \frac{1}{\mathrm{e}}\right)$ sq unit

• 0 sq unit

• 2e sq unit

• $\frac{2}{\mathrm{e}}$ sq unit