Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such
that the geometrical representation of the pair so formed is:
(i) intersecting lines
2x + 3y – 8 = 0
The condition for intersecting lines is
So we multiply any value with a1 and not with b1
If we multiply by 2 second
such equation will
4x + 3y – 8 = 0
(i)
parallel lines
the condition for parallel lines is
So multiply with a1 , b1 with any number and not multiply
with c
if we multiply by 2 then second equation will
4x + 6y – 8 = 0
(ii)
coincident lines
the condition for
coincident lines are
So multiply by any
number with whole equation
If we multiply by 2 we get
4x + 6y – 16 = 0
