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.

Explanation

Let coordinates of a moving point P be (x, y).
Given that the sum of the distances from the axis to the point is always 1.

∴ `|x| + |y| = 1` or,

`=> x + y = 1 `
or,
`=> -x – y = 1`
or,
`=> x – y = 1`
or,
`=>-x+y=1`
or,
Hence, these equations give us the locus of the point P forming a square.