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KCET2024MathematicsThree Dimensional Geometry

The equation x y=0 in three-dimensional space represents

Options

  1. Aa pair of straight lines
  2. Ba plane
  3. Ca pair of planes at right angles
  4. Da pair of parallel planes

Correct answer

C. a pair of planes at right angles

Step-by-step solution

x y=0 x=0 or y=0 Hence, the locus of x y=0 is the union of all points. Which lie in Y Z -plane or on Z X -plane. So, the equation x y=0 represents a pair of planes at right angles.

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