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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
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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