Find the value of p if the distance between the points (8,p) and (4,3) is 5.
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Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula
(x2−x1)2+(y2−y1)2
Distance between the points (p,−5) and (2,7)=(2−p)2+(7−(−5))2=13
⇒(2−p)2+144=13
(2−p)2+144=169
(2−p)2=25
2−p=5 or 2−p=−5
p=−3 or p=7
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