The area (in sq. unit) of the triangle formed in the first

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The area (in sq. unit) of the triangle formed in the first quadrant by the line 3x + 4y = 12 is

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

Correct Option: C

Putting y = 0 in the equation 3x + 4y = 12,
3x + 0 = 12 ⇒ x = 4
Co-ordinates of point B = (4, 0)
Putting x = 0 in the equation 3x + 4y = 12
0 + 4y = 12 ⇒ y = 3
∴ Co-ordinates of point A = (0, 3) ⇒ OB = 4 and OA = 3
∴ Area of ∆ OAB

=	1	× OB × OA
	2

=	1	× 4 × 3 = 6 sq.units
	2