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  4. The graph of the equation x2 + y2 =0 in the three dimensional space is

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Q. The graph of the equation $x^2 + y^2 =0$ in the three dimensional space is

Introduction to Three Dimensional Geometry

Solution:

$x^2 + y^2 = 0 \, \Leftrightarrow x = 0$ and $y = 0 $
$ \Leftrightarrow (x, y, z) = (0 , 0 , z) \Leftrightarrow (x, y,z)$ lies on Z-axis