Question
Write the locus of a point the sum of whose distances from the coordinates axes is unity.

Answer

Let (h, k) be the locus. It is given that the sum of distances of (h, k) from the coordinate axis is unity. $\therefore$ |h| + |k| = 1 Taking locus of (h, k), we get: |x| + |y| = 1 This represents a square.

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