## The distance of the point P on X-axis from point A(5, – 4) is 4 units. Then, the coordinates of P are ______________.

Question

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## Answers ( )

AnsWer :P( 5 , 0 )

SolutioN :Condition :

Let,

So,

Either,

Coordinates P( 5 , 0 )

Therefore, the value of x is 5 units.Let the point P which is on x – axis be ( x , 0 )

{sinceonxaxisycoordinateiszero}Hence,

Distance,

AP = √ ( 0 + 4 )² + ( x – 5 )²

4 = √ 4² + x² + 25 – 10x

4² = 4² + x² – 10x + 25

x² – 10x + 25 = 0

x² – 5x – 5x + 25 = 0

x ( x – 5 ) – 5 ( x – 5 ) = 0

( x – 5 )² = 0

Hence x – 5 = 0

Implies

x = 5coordinates of P are ( 5 , 0 )

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