CBSE Class 10 Answered
Find the ratio of the areas of two triangles formed by the lines representing these equations with the x-axis and the lines with the y-axis ? 2x+y=6,2x-y=-2
Asked by sanya wason | 04 Jul, 2011, 12:22: AM
Expert Answer
We draw the graphs of the given set of equations.
2x + y = 6
x |
3 |
0 |
4 |
y |
0 |
6 |
-2 |
2x - y = -2
x |
-1 |
0 |
1 |
y |
0 |
2 |
4 |
These lines along with the x and y axes form triangles AOB and COD respectively.
Area of triangle AOB = 1/2 X OA X OB = 1/2 X 3 X 6 = 9 sq.units
Area of triangle COD = 1/2 X OC X OD = 1/2 X 1 X 2 = 1 sq. unit
hence the required ratio is 9 : 1.
Answered by | 04 Jul, 2011, 03:04: PM
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