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Question
Find the distance between the following pair of points:
(a+b,b+c) and (a−b,c−b)
(a+b,b+c) and (a−b,c−b)
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Solution
Distance between two points =√(x2−x1)2+(y2−y1)2
x1=a+b,y1=b+c
x2=a−b,y2=c−b
Distance between the point A and B
= √(a−b−a−b)2+(c−b−b−c)2
= √(−2b2)+(−2b)2
= √4b2+4b2
= √8b2=2b√2
Distance between two points =√(x2−x1)2+(y2−y1)2
x1=a+b,y1=b+c
x2=a−b,y2=c−b
= √(a−b−a−b)2+(c−b−b−c)2
= √(−2b2)+(−2b)2
= √4b2+4b2
= √8b2=2b√2
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