Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

How many planes pass through a given straight line?

Answer: Infinitely many.

  • A Exactly one
  • B Exactly two
  • C Three
  • D Infinitely many

Correct answer: D. Infinitely many

Explanation: Infinitely many planes contain a given line; they form a pencil of planes rotating about the line as axis.

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 →