Answer
(c) $ x+y=0$
Work Step by Step
Since the plane $ z=1$ meets the $ z $-axis at one point and the plane $ x+y=1$ does not pass through the origin, then the right answer is (c) $ x+y=0$ which contains the $ z $-axis.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Preliminary Questions - Page 684: 5
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