Question

Find equation of pair of straight lines passing through $(2,3)$ and parallel to the co-ordinate axes.

Answer 1

Equations of the coordinate axes are $x=0andy=0$

The equations of the lines passing through $(2,3)$ and parallel to coordinate axes will be:

$\Rightarrow$ $x=2$, $y=3$

$\Rightarrow$$(x-2)=0$, $(y-3)=0$

$\Rightarrow$Joint equation $\Rightarrow$ $(x-2)(y-3)=0$

$\Rightarrow xy-3x-2y+6=0$.