Question

The graphs of the equations 2x + 3y – 2 = 0 and x – 2y – 8 = 0 are two lines which are 

(a) coincident 

(b) parallel 

(c) intersecting exactly at one point 

(d) perpendicular to each other

Answer 1

The given equations are as follows: 

2x + 3y – 2 = 0 and x – 2y – 8 = 0 

They are of the following form: 

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

Here, a1 = 2, b1 = 3, c1 = -2 and a2 = 1, b2 = -2 and c2 = -8

The given system has a unique solution. 

Hence, the lines intersect exactly at one point.