Given,

The distance between the points (4, p) and (1, 0) = 5

By using the formula of distance,

We get;

∵ Distance between the points (x₁, y₁) and (x₂, y₂)

→

On squaring both the sides, we get

9 + p² = 25

→ p² = 16 → p = ± 4

Hence, the required value of p is ± 4