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  4. The equation xy = 0 in three dimensional space represents

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Q. The equation $xy = 0$ in three dimensional space represents

Introduction to Three Dimensional Geometry

Solution:

$xy = 0$ $\Leftrightarrow$ $x = 0$ or $y = 0$. Hence, locus of $xy = 0$ is the union of all points which lie in $YOZ$ plane or on $ZOX$ plane. So the equation $xy\, = \,0$ represents a pair of perpendicular planes