UPSC NDA Math Model Paper 8

Equation of line, 2x + y = 4
At x = 0, y = 4
At y = 0, x = 2
The line intersect x - axis and y - axis at (2, 0) and (0, 4).
Area bounded by the equation 2x + y = 4, x - axis and y - axis is equal to the area of ΔOAB
Area of ΔOAB =

1

2

×OA×OB
⇒ Area of ΔOAB =

1

2

×2×4
⇒ Area of ΔOAB = 4 sq. units