If the distance between the points (2, -2) and (5, k) is 5 units, then one of the possible values of k shall be which of the following?

2

The correct answer is Option (3) → 2

Let the two points be $A = (2, -2)$ and $B = (5, k)$.

Using the distance formula:

$\sqrt{(5 - 2)^2 + (k + 2)^2} = 5$

$\sqrt{9 + (k + 2)^2} = 5$

$9 + (k + 2)^2 = 25$

$(k + 2)^2 = 16$

$k + 2 = \pm 4$

Therefore, $k = 2$ or $k = -6$

One of the possible values of $k$ is: 2