The distance of the point (-6,8) from x-axis is - Vidyadip

MCQ

The distance of the point $(-6,8)$ from $x$-axis is

A
6 units
B
-6 units
✓
8 units
D
10 units

✓

Answer

Correct option: C.

8 units

(c)
Let us mark the point $P (-6,8)$ in the Cartesian plane.
The shortest distance between the coordinate (6,8 ) and the $x$-axis is a straight line to the point $(-6,0)$.
We are said to find the shortest distance from ( x - axis). So the point is $(-6,0)$.
$
\begin{aligned}
\text { Distance formula } & =\sqrt{\left(x_2-x_1\right)^2+\left(y_1-y_1\right)^2} \\
\text { Here, } \quad x_1, y_1 & =(-6,0) \\
x_2, y_2 & =(-6,8) \\
\text { Now, } \quad & =\sqrt{(-6-(-6))^2+(8-0)} \\
& =\sqrt{(0)+(8)^2} \\
& =\sqrt{64}=8
\end{aligned}
$

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