Question

The distance of the point$P(2,3)$ from the x-axis is

• A. $2$
• B. $3$
• C. $1$
• D. $5$

Answer 1

The correct option is B

$3$

Determine the distance.

The explanation for the correct option:

As we know that a line passes from the $x-axis$ so its $y-axis$ will be $\mathbf{0}$. so, the point is $(2,0)$ .

The formula of distance: $Dis\tan ce=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

need to find the distance between point $P(x_2,y_2)=(2,3)$ and origin $(x_1,y_1)=(2,0)$

Use the distance formula to calculate the distance:

$$\begin{gathered} \mathrm{Distance}=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2} \\ =\sqrt{{(2-2)}^2+{(3-0)}^2} \\ =\sqrt{{\left(0\right)}^2+{\left(3\right)}^2} \\ =\sqrt{9} \\ =3\mathrm{unit} \end{gathered}$$

Hence, the correct answer is “Option B”.

The explanation for the incorrect option:

Since the distance is $3\mathrm{unit}$ as calculated above not equivalent to the values mentioned in Option A, Option C, and Option D.
Hence, Option A, Option C, and Option D are incorrect options.

Hence, the correct answer is “Option B”.