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📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

Two planes x+2y+3z=4 and 2x+4y+6z=5 are:

Answer: Coincident planes.

  • A Intersecting perpendicular planes
  • B Coincident planes
  • C Parallel planes (not the same)
  • D Perpendicular planes

Correct answer: B. Coincident planes

Explanation: Normals are (1,2,3) and (2,4,6) = 2(1,2,3): proportional. So planes are parallel. But d values 4 and 5/2 are not equal, so they are distinct parallel planes.

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

Read the full Three Dimensional Geometry notes →