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Area of the triangle formed by the graph of the straight lines x – y = 0, x + y = 2 and the x– axis is
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- 1 sq unit
- 2 sq units
- 4 sq units
- None of these
- 1 sq unit
Correct Option: A
On putting x = 0 in x + y = 2,
0 + y = 2 Þ y = 2
∴ Point of intersection on y-axis = (0, 2)
Again,
putting y = 0 in x + y = 2, x = 2
∴ Point of intersection on x-axis = (2, 0)
x – y = 0 will pass through origin and be equally inclined to axes.
On putting x = y in x + y = 2, 2y = 2 ⇒ y = 1
∴ CD = 1 OA = 2
| Area of ∆ OAC = | × OA × CD = | × 2 × 1 = 1 sq. units | ||
| 2 | 2 |
