If the distance between the point A(4, p) and B(1, 0) is 5 then


The distance between any two points P1(x1, y1) and P2(x2, y2) is given by the following formula:


 



 


⇒ From the question we have,


 


⇒ A = (4, p)


 


⇒ B = (1, 0)


 


⇒ d = 5


 


⇒


 


⇒ Squaring both sides


 


⇒ 25 = (-3)2 + p2


 


⇒ 25 = 9 + p2


 


⇒ p2 = 25 – 9


 


⇒ p2 = 16


 


⇒ p = ±4


 


Therefore the value of p is ±4.

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