Question

Which of the following does not represent the equation of a line parallel to x - axis.

• A. $x-5=0$
• B. $4y+2x=0-4y+2x$
• C. y = -3y + 2
• D. $3y-2x=2y-2x+1$

Answer 1

The correct option is A $x-5=0$

A line parallel to the x-axis is of the form y = k
Case(i)
$y=-3y+2$
$y+3y-2=0$
$4y-2=0$.
$4y-2=0,\text{can be written as},y=\frac{2}{4}$
Thus, $4y-2=0$ is parallel to x axis.

Case(ii)
$3y-2x=2y-2x+1$
$3y-2y=-2x+2x+1$
$y=1$
Thus, $y=1$ is parallel to x axis.

Case(iii)
$4y+2x=0-4y+2x$
$4y+4y=2x-2x$
$8y=0$
$y=0$
Thus,$y=0$ is parallel to x axis.

Case(iv)
$x-5=0$
$x=5$
It is not written in the form of $y=k$, therefore $x=5$ is not parallel to x- axis.