Two equations in the variables x and y written in the standard form, where a1x+b1y+c1=0and 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.