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Manipal MET2010MathematicsThree Dimensional Geometry

The locus of the equation x y+y z=0 is

Options

  1. Aa pair of straight lines
  2. Ba pair of parallel lines
  3. Ca pair of perpendicular planes
  4. DNone of the above

Correct answer

C. a pair of perpendicular planes

Step-by-step solution

x y+y z=0 (x+z) y=0 y=0 or x+z=0 The equations y=0 and x+z=0 represents planes which are at right angles as their altitudes numbers are 0,1,0 and 1,0,1 respectively.

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