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If the Points A(4,3) and B( X,5) Lie on the Circle with Center O(2,3 ) Find the Value of X . - Mathematics

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If the points  A(4,3)  and B( x,5) lie on the circle with center  O(2,3 ) find the value of x .

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Solution

The given points A(4, 3) and B(x, 5) lie on the circle with center O(2, 3).  Then, OA = OB 

`⇒ sqrt((x-2)^2 +(5-3)^2) = sqrt((4-2)^2 +(3-3)^2)`

`⇒ (x-2)^2 +2^2 =2^2+0^2`

`⇒ (x-2)^2 = (2^2 -2^2)`

`⇒ (x-2)^2=0`

 ⇒  x - 2 = 0

⇒ x = 2 

Hence, the value of x = 2

Concept: Coordinate Geometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 12

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