Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The locus of a point equidistant from A(1,0,0) and B(0,1,0) is:

Answer: A plane.

  • A A sphere
  • B A line
  • C A plane
  • D A circle

Correct answer: C. A plane

Explanation: The locus of points equidistant from two fixed points in 3D space is the perpendicular bisector plane of the segment joining them.

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 →