Question

The distance between the points A(2, −3) and B(2, 2) is

(a) 4 units
(b) 5 units
(c) 3 units
(d) 2 units

Answer 1

(b) 5 units
The given points are A(2, −3) and B(2, 2).
Then, $\left(x_1=2,y_1=-3\right)\text{and}\left(x_2=2,y_2=2\right)$
Therefore,
$$\begin{gathered} AB=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2} \\ =\sqrt{{\left(2-2\right)}^2+{\left(2+3\right)}^2} \\ =\sqrt{{\left(0\right)}^2+{\left(5\right)}^2} \\ =\sqrt{0+25} \\ =\sqrt{25} \\ =5\text{units} \end{gathered}$$