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NDA Math Three Dimensional Geometry

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A point P (1, 2, 3) is one vertex of a cuboid formed by the coordinate planes and planes passing through P and parallel to the coordinate planes.

[NDA I 2015]

Question : 73

Total: 92

What is the equation of the plane passing through P (1, 2, 3) and parallel to xy-plane?

[NDA I 2015]

x+y=3
x−y=−1
z=3
x+2y+3z=14

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