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The Straight Lines — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsThe Straight Lines1 Mark
Question
Write the locus of a point the sum of whose distances from the coordinates axes is unity.
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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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