First slide

Planes in 3D

Question

$The locus represented by x y + y z = 0 is a pair of$

Moderate

A

perpendicular line
B

parallel lines
C

parallel planes
D

perpendicular planes

Solution

$\begin{array}{l} x y + y z = 0 \\ ∴ y (x + z) = 0 \\ ∴ y = 0 or x + z = 0 \end{array}$
This is a pair of perpendicular planes.

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