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If the sum of the distances of a point from two perpendicular lines in a plane is 1,then its locus is?


If the sum of the distances of a point from two perpendicular lines in a plane is 1,then its locus is?


 


Grade:12

1 Answers

Pratham Ashish
17 Points
12 years ago

hi,

 let us  take  the perpendicular lines as axis ,  if there is a point such that ,  sum of its distances from the axis is  1 ,

then  lxl + lyl = 1 . will be its locus ( coz  x= its distance from the y axis & y = from x axis)

it gives a squre as shown in the following figure

 

4547-874_4788_5.bmp

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