Question

The area of the region bounded by the curves y =| x - 2 |, x = 1, x = 3 and the x-axis is

• A. 4
• B. 2
• C. 3
• D. 1

Answer 1

Answer: (D)

1

Answer 2

The required area is shown by shaded region y=\left\\{\begin{array}{ll}x-2 & \text { if } x>2 \\\ 0 & \text { if } x=0 \\\ 2-x & \text { if } x < 2\end{array}\right. Required area $=$ Area of $\Delta L A B +$ Area of $\Delta M B C$ $=\frac{1}{2}[ A L \times A B + B C \times C M ]$ $=\frac{1}{2}[1 \times 1+ 1 \times 1 ]= 1$