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Question

Two equations in the variables x and y written in the standard form, where
a1x+b1y+c1=0 and
a2x+b2y+c2=0,
have the coefficients as follows:
a1=5,b1=6,c1=4,a2=10,b2=12,c2=7
What is the nature of these two lines?
 


A
Coincident
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B
Intersecting
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C
Parallel
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D
Coincident or parallel
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Solution

The correct option is C Parallel
The equations of the two lines are:
5x + 6y + 4 = 0
10x + 12y + 7 = 0
When we plot the graphs of these two equations, it is visible that they are parallel to each other.

 

Mathematics

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