Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

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

Correct Answer:

A pair of perpendicular planes

Explanation:

xy + yz=0

⇒ x (y + z) = 0

⇒ x = 0, y +z = 0

Thus it represents a pair of planes

x = 0, y + z = 0

that are clearly mutually perpendicular.