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CBSE Class 10 Answered

if the distance of p{x,y} from a 8,2 and b -2,6 are equal prove that y = 2x  
Asked by purvajha1603 | 15 Feb, 2019, 11:59: AM
answered-by-expert Expert Answer
Distance between P(x,y) and A(8,2) = begin mathsize 12px style square root of open parentheses x minus 8 close parentheses squared plus open parentheses y minus 2 close parentheses squared end root end style ...........................(1)
Distance between P(x,y) and B(-2,6) = begin mathsize 12px style square root of open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared end root space end style......................(2)
if both distances are equal then,
begin mathsize 12px style open parentheses x minus 8 close parentheses squared space plus space open parentheses y minus 2 close parentheses squared space equals space open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared x squared plus y squared minus 16 x space minus 4 y space plus space 68 space equals space x squared plus y squared plus 4 x space minus 12 y space plus 40 f r o m space a b o v e space e q n comma space w e space g e t space 5 x minus 2 y space equals space 7 end style
 
Solution is not cmoing as y = 2x as given in the question, but y = (7-5x)/2
Answered by Thiyagarajan K | 15 Feb, 2019, 01:36: PM

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