First slide

Planes in 3D

Question

If the points (1, 1, -3) and (1, 0, -3) lie on opposite sides of the plane $x + y + 3 z + d = 0$ then

Moderate

A

$d < 7$
B

$d > 8$
C

$7 < d < 8$
D

$d < 7 o r d > 8$

Solution

d-7 and d-8 must have opposite signs $\Rightarrow$ 7<d < 8.

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