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Question: Answered & Verified by Expert
A point $P(1,2,3)$ is one vertex of a cuboid formed bythe coordinate planes and the planes passing through $P$ and parallel to the coordinate planes. What is the equation of the plane passing through $P(1,2,3)$ and parallel to $x y$ -plane?
MathematicsThree Dimensional GeometryNDANDA 2015 (Phase 1)
Options:
  • A $x+y=3$
  • B $x-y=-1$
  • C $z=3$
  • D $x+2 y+3 z=14$
Solution:
2193 Upvotes Verified Answer
The correct answer is: $z=3$
Equation of plane passing through $(1,2,3)$ and parallel to $x y$ -plane is $z=3$.
$\therefore \quad$ Option $(\mathrm{c})$ is correct.

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