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QUESTION FOR MATHS EXPERTS ...
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Answers
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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"MATHEMATICIAN"
To check whether they will cross
we will
check if the solution of the equation are consistent or inconsistent
To check
x-3y=2
-2x+6y=5
here,
a1=1
a2=-2
b1=-3
b2=6
c1=-2
c2=-5
so ,
a1/a2=-1/2
b1/b2=-3/6=-1/2
c1/c2=2/5
so ,here
a1/a2=b1/b2≠c1/c2
so they are inconsistent
so they are parallel
therefore they will never meet.
being silent