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 | 4th 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  | 4th Jul, 2011, 03:04: PM

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