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