wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 1
Graphically, solve the following pair of equations
2x + y = 6 and 2x – y + 2 = 0
Find the ratio of the areas of the two triangles formed by the lines representing these equations with the X-axis and the lines with the y-axis.

Open in App
Solution

Given equation are 2x + y = 65 and 2x – y + 2 = 0
Table for equation 2x + y = 6
X03Y60PointsBA
Table for equation 2x – y + 2 = 0
X01Y20PointsDC
Let A1 and A2 represent the areas of DeltaACE and ΔBDE, respectively

Now, A1=Area of ΔACE=12×AC×PE=12×4×4=8and A2=Area of ΔBDE=12×BD×QE=12×4×1=2 A1 A2=8:2=4:1
Hence, the pair of equations intersect graphically at point E (1, 4) i.e., x = 1 and y = 4

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area from Coordinates
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon