The locus of $x^{2} + y^{2} + z^{2} = 0$ represents

A circle

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A Stright line

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(0, 0, 0)

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Plane

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Solution

The correct option is C $(0, 0, 0)$
Given, $x^{2} + y^{2} + z^{2} = 0$
Since $x, y, z$ are real, so this is only possible if $x = 0, y = 0, z = 0$
Hence, required locus is $(0, 0, 0)$ .

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