find the positive value of m for which distance between the points A(5,-3) and B(13,m) is 10 units

 

Asked by arvinds17 | 8th Mar, 2019, 12:14: PM

Expert Answer:

Distance between A(5, -3) and B (13, m)  is given by
 
begin mathsize 12px style square root of open parentheses 5 minus 13 close parentheses squared plus open parentheses negative 3 minus m close parentheses squared end root space equals space square root of 64 plus open parentheses m plus 3 close parentheses squared end root space equals space 10
64 space plus left parenthesis m plus 3 right parenthesis squared space equals space 100
m squared plus 6 m minus 27 space equals space 0
left parenthesis m plus 9 right parenthesis left parenthesis m minus 3 right parenthesis space equals space 0
end style
hence  m = 3

Answered by Thiyagarajan K | 8th Mar, 2019, 12:42: PM

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