Question

Given the linear equation 2x + 3y − 8 = 0, write another linear equations in two variables such that the geometrical representation of the pair so formed is:

(i) intersecting lines (ii) parallel lines

(iii) coincident lines

Answer 1

(i)Intersecting lines:

For this condition,

The second line such that it is intersecting the given line is .

(ii) Parallel lines:

For this condition,

Hence, the second line can be

4x + 6y − 8 = 0

(iii)Coincident lines:

For coincident lines,

Hence, the second line can be

6x + 9y − 24 = 0