17. Case Study I
Gokuldham Society
The resident welfare association of a
Gokuldham society decided to build two
straight paths in their neighbourhood park
such that they do not cross each other, and
also plant trees along the boundary lines of
each path
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Gokuldham
society park
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Path
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Answer:
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Answer:
Given:
x -3y = 2
x -3y -2= 0……………..(1)
-2x +6y =5
-2x +6y -5=0……………(2)
On comparing the above equation with standard form of pair of Linear Equations a1x + b1y +c1=0 and a2x + b2y +c2=0
Here, a1= 1, b1= -3 ,c1= -2
a2= -2, b2= 6 ,c2= -5
a1/a2= 1/-2 = -1/2, b1/b2= -3/6 = -½, c1/c2= -2/-5= 2/5
Here, a1/a2 = b1/b2 ≠ c1/c2
Hence, the paths represented by the equations are parallel(not intersect each other).
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