Given the linear equation write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) intersecting lines
(ii) parallel lines
(iii) coincident lines
(i) Intersecting lines: For this condition,
The second line such that it is intersecting the given line is
2x+4y-6 = 0
As
(ii) Parallel lines:
For this condition,
Hence, the second line can be 4x + 6y - 8 = 0
As
So,
(iii) Coincident lines: For coincident lines,
Hence,
the second line can be 6x + 9y - 24 = 0
So,