Q. 155.0( 1 Vote )

# Write the locus of a point the sum of whose distances from the coordinate’s axes is unity.

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.

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