Question

If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p.

Answer 1

The given ports are A(0, 2), B(3, p) and C(p, 5).

AB = AC ⇒ AB² = AC²

` ⇒ (3-0)^2 +(P-2)^2= (P-0)^2 +(5-2)^2`

` ⇒9+P^2-4P+4=P^2+9`

 ⇒ 4P = A ⇒ P = 1

Hence, p = 1.