Question

Can anyone please answer my questions

Answer 1

Answer:

1 (i)To make the equations intersecting,we have to create one such that $\frac{x_{1}}{x_{2}} \neq \frac{y_{1}}{y_{2}}$

∴Required eqn is : 6x -3y-5=0

(ii)To make the lines coincident the equations have to be such that

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

So, by multiplying the equation by 2, we get 6x-8y-4=0

(iii)For parallel lines the two equations have to be of the form

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

So,required eqn is :6x-8y-6=0

HOPE IT HELPS!!