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If the Point A(0,2) is Equidistant from the Points B(3,P) and C(P, 5), Find P. - Mathematics

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

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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. 

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 2

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