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What is the area of the region bounded by straight line 9x + 4y = 36, x - axis and the y - axis ?
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- 12 sq. units
- 18 sq. units
- 16 sq. units
- 15 sq. units
- 12 sq. units
Correct Option: B
Putting y = 0 in 9x + 4y = 36 9x = 36 ⇒ x = 4
∴ Co-ordinates of point A = (4, 0)
i.e OA = 4 units
Putting x = 0 in 9x + 4y = 36
4y = 36 ⇒ y = 9
∴ Co-ordinates of point B = (0, 9)
i.e. OB = 9 units
| ∴ Area of ∴OAB = | × OA × OB | |
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