-
The area of the triangle formed by the straight line 3x + 2y = 6 and the co-ordinate axes is
-
- 3 square units
- 6 square units
- 4 square units
- 8 square units
- 3 square units
Correct Option: A
Putting y = 0 in the equation
3x + 2y = 6,
3x + 0 = 6 ⇒ x = 2
∴ Point of intersection on x-axis = (2, 0)
Putting x = 0, in the equation 3x + 2y = 6,
gives 0 + 2y = 6 ⇒ y = 3
∴ Point of intersection on y-axis = (0, 3)
So, OA = 2, OB = 3
| ∴ ∆ OAB = | × OA × OB | |
| 2 |
| = | × 2 × 3 = 3 sq.units | |
| 2 |
