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

Answer 1

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.