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Question
The locus represented by xy + yz = 0 is ______.
Options
A pair of perpendicular lines
A pair of parallel lines
A pair of parallel planes
A pair of perpendicular planes
Solution
The locus represented by xy + yz = 0 is a pair of perpendicular planes.
Explanation:
Given that, xy + yz = 0
y.(x + z) = 0
y = 0 or x + z = 0
Here y = 0 is one plane and x + z = 0 is another plane.
So, it is a pair of perpendicular planes.
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