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If the sum of the distances of a variable line from the points 2,0. 0,2 and -2,-2 is zero then the line passes through ______ fixed piont

If the sum of the distances of a variable line from the points 2,0. 0,2 and -2,-2 is zero then the line passes through ______ fixed piont
 

Grade:11

1 Answers

Arun
25763 Points
2 years ago
 
let the line 
 
ax + by + c= 0
 
hence 
 
2a + c + 2b + c – 2a – 2b + c / sqrt (a^2 + b^2)  = 0
 
3c = 0
 
hence c = 0
 
hence the line will be 
ax + by = 0
 
which always passes through origin i.e. (0,0)

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