Given the linear equation x-2y-6=0, write another linear equation in these two variables,
such that the geometrical representation of the pair so formed is :
(i) coincident lines (ii)intersecting lines

Question

Given the linear equation x-2y-6=0, write another linear
equation in these two variables,
such that the geometrical representation of the pair so formed is
:
(i) coincident lines (ii)intersecting lines

Varun Rawat · Accepted Answer

The given linear equation is,x - 2y- 6 = 0We know that lines a1x + b1y + c1 and a2x + b2y + c2 = 0 are coincident ifa1a2 = b1b2 = c1c2We know that lines a1x + b1y + c1 and a2x + b2y + c2 = 0 are intersecting ifa1a2 ≠ b1b2 i
The required line can be 2x - 4y - 12 = 0ii
The required line can be 2x - 3y - 12 = 0

Given the linear equation x-2y-6=0, write another linear equation in these two variables, such that the geometrical representation of the pair so formed is : (i) coincident lines (ii)intersecting lines

Given the linear equation x-2y-6=0, write another linear equation in these two variables,
such that the geometrical representation of the pair so formed is :
(i) coincident lines (ii)intersecting lines