Question

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

(a) coincident 

(b) parallel 

(c) intersecting exactly at one point 

(d) perpendicular to each other

Answer 1

Correct answer = (b) parallel

The given equations are as follows: 

6x - 2y + 9 = 0 and 3x - y + 12 = 0 

They are of the following form: 

a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 

Here, a₁ = 6, b₁ = -2, c₁ = 9 and a₂ = 3, b₂ = -1 and c₂ = 12

The given system has no solution.

Hence, the lines are parallel.