The graphs of the equations `6x- 2y+9 =0 and 3x -y+12=0` lines which are

Options

A. coincient
B. parallel
C. intersecting exactly at one point
D. perpendicular to each other

Answer

B

Explanation

`(a_1)/(a_2) = (6)/(3) = (2)/(1), (b_1)/(b_2) = (-2)/(-1) = (2)/(1) and (c_1)/(c_2) = (9)/(12) = (3)/(4)`.
` therefore (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2)`
So, the system is inconsistent and hence the lines are parallel.