Question

The distance of the point P(4, −3) from the origin is

(a) 1 unit
(b) 3 units
(c) 5 units
(d) 7 units

Answer 1

(c) 5 units
The given point is P​(4, −3) and the origin is (0, 0).
Then, $\left(x_1=4,y_1=-3\right)\text{and}\left(x_2=0,y_2=0\right)$
$$\begin{gathered} OP=\sqrt{{\left(0-4\right)}^2+{\left(0-\left(-3\right)\right)}^2} \\ =\sqrt{{\left(-4\right)}^2+{\left(3\right)}^2} \\ =\sqrt{16+9} \\ =\sqrt{25} \\ =5\text{units} \end{gathered}$$