The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

x = 0 is the equation of y-axis.

y = 0 is the equation of x-axis.

Putting x = 0 in x + y =1, y = 1

Putting y = 0 in x + y =1, x = 1

Putting x = 0 in 2x + 3y = 6

3y = 6 ⇒ y = 2

Putting y = 0 in 2x + 3y = 6

2x = 6 ⇒ x = 3

∴ OB = 1; OA = 1

∴ Required area = ΔOCD – ΔOAB

$=\frac{1}{2} \times 3 \times 2-\frac{1}{2} \times 1 \times 1=3-\frac{1}{2}=2 \frac{1}{2}$ sq. units