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Write the Locus of a Point the Sum of Whose Distances from the Coordinates Axes is Unity.

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Question

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

Answer in Brief
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Solution

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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Chapter 23: The straight lines - Exercise 23.20 [Page 132]

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R.D. Sharma Mathematics [English] Class 11
Chapter 23 The straight lines
Exercise 23.20 | Q 15 | Page 132

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