Question

Area bounded by the lines $y=x,x=-1,x=2$ and x-axis is

• A. $\frac{5}{2}$ sq units
• B. $\frac{3}{2}$ sq units
• C. $\frac{1}{7}$ sq units
• D. None of the above

Answer 1

The correct option is A

$\frac{5}{2}$ sq units

Explanation for the correct option:

Draw the graph according to the question $y=x,x=-1,x=2$:

From the figure,

Area bounded by the curves $=$Area of two triangles

$$\begin{gathered} =\frac{1}{2}\times 1\times 1+\frac{1}{2}\times 2\times 2 \\ =\frac{1}{2}+2 \\ =\frac{5}{2} \end{gathered}$$

$\therefore$Area bounded by the curves is $\frac{\mathbf{5}}{\mathbf{2}}$ sq units

Hence, Option ‘A’ is Correct.