The area of the triangle formed by the graph of 3x + 4y

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The area of the triangle formed by the graph of 3x + 4y = 12, x axis and y-axis (in sq. units) is

1. 4
2. 12
3. 6
4. 8

Correct Option: C

x – axis Þ y = 0, putting in equation 3x + 4y = 12 3x = 12 ⇒ x = 4
⇒ Co-ordinates of point of intersection on x-axis = (4, 0)
Putting x = 0 in the equation 3x + 4y = 12 4y = 12 ⇒ y = 3
∴ Co-ordinates of point of intersection on y – axis = (0, 3)
∴ OA = 4
OB = 3

∴ Area of ∴OAB =	1	× OA × OB	1	× 4 × 3 = 6 sq. units
	2		2