Answer :


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.


(h, k) be the locus.


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.

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