Question

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:

(iii) Coincident lines

Answer 1

Writing another linear equation:

We know that for coincident line

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

Here

$a_1=2,b_1=3,c_1=-8$

So we can take

$a_2=6,b_2=9,c_2=-24$

So the equation of coincident line is

$6x+9y-24=0$

Hence, another linear equation in two variables such that the geometrical representation of the pair so formed is a coincident line is given.