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  • If the sum of the distances of a moving point in a plane from the axes is 1, then find the locus of the point

Q: If the sum of the distances of a moving point in a plane from the axes is 1, then find the locus of the point

Answers (1)

Let the coordinates of a moving point P be (a,b)

It is given that the sum of the distance from the axes to the point is always 1,

|x|+|y|=1 

±x±y=1,

⟹−x−y=1, x+y=1, −x+y=1 and x−y=1

Hence, these equations gives us the locus of the point P which is a square.

 

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