the graph of the equation 6 x -2 y + 9 = 0 and 3 x -y+12=0 are two lines which are
A Coincident
B Parallel
C Intersecting at one point
D Perpendicular to each other
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Q. 255.0( 2 Votes )
The graphs of the
Class 10thRS Aggarwal - Mathematics3. Linear Equations in Two Variables
Answer
We have,
6x – 2y + 9 = 0
And, 3x – y + 12 = 0
Here, a1 = 6, b1 = – 2 and c1 = 9
a2 = 3, b2 = – 1 and c2 = 12
∴

,

and

Clearly,

Hence, the given system has no solution and the lines are parallel
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