Question

The distance of the point $P\left(3,-4\right)$ from the origin is:

• A. $7units$
• B. $5units$
• C. $4units$
• D. $3units$

Answer 1

The correct option is B

$5\mathrm{units}$

Finding the distance:

It is known that the distance $d$ between the origin$\left(0,0\right)$ and a point$\left(x,y\right)$ can be found by using the formula given below:

$d=\sqrt{x^2+y^2}$

The distance between the origin and the point $P\left(3,-4\right)$ can be found as follows:

$\begin{array}{rcl}d& =& \sqrt{{\left(3\right)}^2+{\left(-4\right)}^2}\\ & =& \sqrt{9+16}\\ & =& \sqrt{25}\\ & =& 5\mathrm{units}\end{array}$

Final Answer:

Hence, option B is correct.