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Question

Mathematics Question on Three Dimensional Geometry

The locus represented by xy+yz=0xy + yz = 0 is

A

a pair of perpendicular lines

B

a pair of parallel lines

C

a pair of parallel planes

D

a pair of perpendicular planes

Answer

a pair of perpendicular planes

Explanation

Solution

Locus represented by xy+yz=0xy + yz = 0
\Rightarrow y(x+z)=0y(x + z) = 0
The planes y=0y = 0 and x+z=0x + z = 0 are perpendicular