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Find the Point on X-axis Which is Equidistant from Points A(-1,0) and B(5,0) - Mathematics

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Find the point on x-axis which is equidistant from points A(-1,0) and B(5,0)

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Solution

Let P (x ,0) be the point on . x- axis  Then

AP = BP ⇒ AP2 = BP

`⇒ (x+1)^2 + (0-0)^2 = (x-5)^2 +(0-0)^2`

`⇒ x^2 +2x+1=x^2-10x +25`

`⇒ 12x = 24 ⇒ x = 2`

Hence , x = 2

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 9

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