Write whether the following statements are True or False? Justify your answers.
$(i)$ $ax + by + c = 0$,where $a, b$ and $c$ are real numbers,is a linear equation in two variables.
$(ii)$ $A$ linear equation $2x + 3y = 5$ has a unique solution.
$(iii)$ All the points $(2, 0), (-3, 0), (4, 2)$ and $(0, 5)$ lie on the $x$-axis.

(A) $(i)$ False,because $ax + by + c = 0$ is a linear equation in two variables only if both $a$ and $b$ are non-zero (i.e.,$a^2 + b^2 \neq 0$).
$(ii)$ False,because a linear equation in two variables has infinitely many solutions.
$(iii)$ False,the points $(2, 0)$ and $(-3, 0)$ lie on the $x$-axis because their $y$-coordinates are $0$. The point $(4, 2)$ lies in the first quadrant,and the point $(0, 5)$ lies on the $y$-axis.