Given:
Distances from the coordinate’s axes is unity.
To find:
The locus of a point the sum of whose distances from the coordinate’s axes is unity.
Assuming:
(h, k) be the locus.
Explanation:
It is given that the sum of distances of (h, k) from the coordinate axis is unity.
∴ |h| + |k| = 1
Taking locus of (h, k), we get:
|x| + |y| = 1
Hence, this represents a square.
