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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The equation of the plane through (1,0,0), (0,1,0) and (0,0,1) is:

Answer: x + y + z = 1.

  • A x + y + z = 1
  • B x + y + z = 0
  • C x + y + z = 3
  • D xyz = 1

Correct answer: A. x + y + z = 1

Explanation: The intercept form x/1 + y/1 + z/1 = 1 gives x + y + z = 1.

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

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