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A points P(1,2,3) is one vertex of a cub...

A points P(1,2,3) is one vertex of a cuboid formed by the 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 xy-plane ?

A

`x+y=3`

B

`x-y=-1`

C

`z=3`

D

`x+2y+3z=14`

Text Solution

Verified by Experts

The correct Answer is:
C
Equation of plane passing through (1,2,3) and parallel to xy-plane is z=3.
`:.` Option ( c) is correct.
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