If the distance between the points (4, p) and (1, 0) is 5, then the value of p is

Given,

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

By using the formula of distance,

We get;

∵ Distance between the points (x_{1}, y_{1}) and (x_{2}, y_{2})

→

On squaring both the sides, we get

9 + p^{2} = 25

→ p^{2} = 16 → p = ± 4

Hence, the required value of p is ± 4

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