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  4. Find the locus of a point which moves so that sum of the squares of its distance from the axes is equal to 3 .

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Q. Find the locus of a point which moves so that sum of the squares of its distance from the axes is equal to 3 .

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Solution:

Let point $(h, k)$
Distance from $y$-axis $=| h |$
-------------------$x$ -----------$=(k)$
$\therefore h^2+k^2 \equiv 3 $
$x^2+y^2-3$