Question

The point $(0,8)$ lies on ______ axis.

• A. $X$-axis
• B. $Y$-axis
• C. Both axes
• D. None of these

Answer 1

Answer: (B)

$Y$-axis

We know, in the $xy$-plane, any point on the $y$-axis will have $x=0$.
Hence, any point on the $y$-axis is of the form $(0,y)$, where $y$ can be any non-zero number.

Therefore, any point whose $x$-coordinate is $0$ and $y$-coordinate is non-zero will lie on the $y$-axis.

Here, the given point is $(0,8)$ is of the form $(0,y)$, where $y=8$.

and therefore lies on the $y$-axis.

Hence, option $B$ is correct.