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`

 ⇒4 P = A ⇒ P=1

Hence , p =1.