Question

If the distance between the points (4, p) and (1, 0) is 5, then the values of p are ______.

Answer 1

If the distance between the points (4, p) and (1, 0) is 5, then the values of p are ±4.

Explanation:

Distance = `sqrt((4 - 1)^2 + (p - 0)^2) = 5`

⇒ 9 + p² = 25 

⇒ p² = 16

⇒ p = ±4